Evaluate Using Scientific Notation (4.510^3)/(910^7)

$\frac{4.5 \cdot 10^{3}}{9 \cdot 10^{7}}$

Step 1

Divide using scientific notation.

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{4.5}{9}) (\frac{10^{3}}{10^{7}})$

Divide $4.5$ by $9$ .

$0.5 \frac{10^{3}}{10^{7}}$

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$0.5 \cdot 10^{3 + 7 \cdot - 1}$

Multiply $7$ by $- 1$ .

$0.5 \cdot 10^{3 - 7}$

Subtract $7$ from $3$ .

$0.5 \cdot 10^{- 4}$

Step 2

Move the decimal point in $0.5$ to the right by $1$ place and decrease the power of $10^{- 4}$ by $1$ .

$5 \cdot 10^{- 5}$

Evaluate Using Scientific Notation (4.5*10^3)/(9*10^7)