Evaluate Using Scientific Notation (310^8)/(610^-7)

$\frac{3 \cdot 10^{8}}{6 \cdot 10^{- 7}}$

Step 1

Divide using scientific notation.

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

$(\frac{3}{6}) (\frac{10^{8}}{10^{- 7}})$

Divide $3$ by $6$ .

$0.5 \frac{10^{8}}{10^{- 7}}$

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

$0.5 \cdot 10^{8 - 7 \cdot - 1}$

Multiply $- 7$ by $- 1$ .

$0.5 \cdot 10^{8 + 7}$

Add $8$ and $7$ .

$0.5 \cdot 10^{15}$

Step 2

Move the decimal point in $0.5$ to the right by $1$ place and decrease the power of $10^{15}$ by $1$ .

$5 \cdot 10^{14}$

Evaluate Using Scientific Notation (3*10^8)/(6*10^-7)