Evaluate Using Scientific Notation (1.5010^5)/(5.010^1)

$\frac{1.5 \cdot 10^{5}}{5 \cdot 10^{1}}$

Step 1

Divide using scientific notation.

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

$(\frac{1.5}{5}) (\frac{10^{5}}{10^{1}})$

Divide $1.5$ by $5$ .

$0.3 \frac{10^{5}}{10^{1}}$

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

$0.3 \cdot 10^{5 + 1 \cdot - 1}$

Multiply $- 1$ by $1$ .

$0.3 \cdot 10^{5 - 1}$

Subtract $1$ from $5$ .

$0.3 \cdot 10^{4}$

Step 2

Move the decimal point in $0.3$ to the right by $1$ place and decrease the power of $10^{4}$ by $1$ .

$3 \cdot 10^{3}$

Evaluate Using Scientific Notation (1.50*10^5)/(5.0*10^1)