Evaluate Using Scientific Notation (2.510^6)/(5.010^-2)

$\frac{2.5 \cdot 10^{6}}{5 \cdot 10^{- 2}}$

Step 1

Divide using scientific notation.

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

$(\frac{2.5}{5}) (\frac{10^{6}}{10^{- 2}})$

Divide $2.5$ by $5$ .

$0.5 \frac{10^{6}}{10^{- 2}}$

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

$0.5 \cdot 10^{6 - 2 \cdot - 1}$

Multiply $- 2$ by $- 1$ .

$0.5 \cdot 10^{6 + 2}$

Add $6$ and $2$ .

$0.5 \cdot 10^{8}$

Step 2

Move the decimal point in $0.5$ to the right by $1$ place and decrease the power of $10^{8}$ by $1$ .

$5 \cdot 10^{7}$

Evaluate Using Scientific Notation (2.5*10^6)/(5.0*10^-2)