Evaluate ((2.0010^4)(1.9010^-3))/((1.044)(500))

$\frac{(2 \times 10^{4}) (1.9 \times 10^{- 3})}{(1.044) (500)}$

Step 1

Multiply $2$ by $1.9$ .

$\frac{3.8 (10^{4} \cdot 10^{- 3})}{(1.044) (500)}$

Step 2

Multiply $10^{4}$ by $10^{- 3}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3.8 \cdot 10^{4 - 3}}{(1.044) (500)}$

Subtract $3$ from $4$ .

$\frac{3.8 \cdot 10^{1}}{(1.044) (500)}$

Step 3

Simplify $10^{1}$ .

$\frac{3.8 \cdot 10}{(1.044) (500)}$

Step 4

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $3.8 \cdot 10$ .

$\frac{10 (0.38 \cdot 10)}{(1.044) (500)}$

Cancel the common factors.

Factor $10$ out of $(1.044) (500)$ .

$\frac{10 (0.38 \cdot 10)}{10 ((0.1044) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.38 \cdot 10)}{10 ((0.1044) \cdot 500)}$

Rewrite the expression.

$\frac{0.38 \cdot 10}{(0.1044) \cdot 500}$

Step 5

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.38 \cdot 10$ .

$\frac{10 (0.038 \cdot 10)}{(0.1044) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.1044) \cdot 500$ .

$\frac{10 (0.038 \cdot 10)}{10 ((0.01044) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.038 \cdot 10)}{10 ((0.01044) \cdot 500)}$

Rewrite the expression.

$\frac{0.038 \cdot 10}{(0.01044) \cdot 500}$

Step 6

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.038 \cdot 10$ .

$\frac{10 (0.0038 \cdot 10)}{(0.01044) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.01044) \cdot 500$ .

$\frac{10 (0.0038 \cdot 10)}{10 ((0.001044) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.0038 \cdot 10)}{10 ((0.001044) \cdot 500)}$

Rewrite the expression.

$\frac{0.0038 \cdot 10}{(0.001044) \cdot 500}$

Step 7

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.0038 \cdot 10$ .

$\frac{10 (0.00038 \cdot 10)}{(0.001044) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.001044) \cdot 500$ .

$\frac{10 (0.00038 \cdot 10)}{10 ((0.0001044) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.00038 \cdot 10)}{10 ((0.0001044) \cdot 500)}$

Rewrite the expression.

$\frac{0.00038 \cdot 10}{(0.0001044) \cdot 500}$

Step 8

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.00038 \cdot 10$ .

$\frac{10 (0.000038 \cdot 10)}{(0.0001044) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.0001044) \cdot 500$ .

$\frac{10 (0.000038 \cdot 10)}{10 ((0.00001044) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.000038 \cdot 10)}{10 ((0.00001044) \cdot 500)}$

Rewrite the expression.

$\frac{0.000038 \cdot 10}{(0.00001044) \cdot 500}$

Step 9

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.000038 \cdot 10$ .

$\frac{10 (0.0000038 \cdot 10)}{(0.00001044) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.00001044) \cdot 500$ .

$\frac{10 (0.0000038 \cdot 10)}{10 ((0.00000104) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.0000038 \cdot 10)}{10 ((0.00000104) \cdot 500)}$

Rewrite the expression.

$\frac{0.0000038 \cdot 10}{(0.00000104) \cdot 500}$

Step 10

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.0000038 \cdot 10$ .

$\frac{10 (0.00000038 \cdot 10)}{(0.00000104) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.00000104) \cdot 500$ .

$\frac{10 (0.00000038 \cdot 10)}{10 ((0.0000001) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.00000038 \cdot 10)}{10 ((0.0000001) \cdot 500)}$

Rewrite the expression.

$\frac{0.00000038 \cdot 10}{(0.0000001) \cdot 500}$

Step 11

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.00000038 \cdot 10$ .

$\frac{10 (0.00000003 \cdot 10)}{(0.0000001) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.0000001) \cdot 500$ .

$\frac{10 (0.00000003 \cdot 10)}{10 ((0.00000001) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0.00000003 \cdot 10)}{10 ((0.00000001) \cdot 500)}$

Rewrite the expression.

$\frac{0.00000003 \cdot 10}{(0.00000001) \cdot 500}$

Step 12

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0.00000003 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0.00000001) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0.00000001) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 13

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 14

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 15

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 16

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 17

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 18

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 19

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 20

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 21

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 22

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 23

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 24

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 25

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 26

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 27

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 28

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 29

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 30

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 31

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 32

Cancel the common factor of $10$ and $500$ .

Factor $10$ out of $0 \cdot 10$ .

$\frac{10 (0 \cdot 10)}{(0) \cdot 500}$

Cancel the common factors.

Factor $10$ out of $(0) \cdot 500$ .

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Cancel the common factor.

$\frac{10 (0 \cdot 10)}{10 ((0) \cdot 500)}$

Rewrite the expression.

$\frac{0 \cdot 10}{(0) \cdot 500}$

Step 33

Multiply by zero.

Multiply $0$ by $10$ .

$\frac{0}{(0) \cdot 500}$

Multiply $0$ by $500$ .

$\frac{0}{0}$

The expression contains a division by $0$ . The expression is undefined.

Undefined

$\frac{0}{0}$

Step 34

The expression contains a division by $0$ . The expression is undefined.

Undefined

Evaluate ((2.00*10^4)(1.90*10^-3))/((1.044)(500))

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Evaluate ((2.0010^4)(1.9010^-3))/((1.044)(500))