Evaluate Using Scientific Notation 0.00065/(5*10^-2)

$\frac{0.00065}{5 \cdot 10^{- 2}}$

Step 1

Divide using scientific notation.

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

$(\frac{0.00065}{5}) (\frac{1}{10^{- 2}})$

Divide $0.00065$ by $5$ .

$0.00013 \frac{1}{10^{- 2}}$

Move $10^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$0.00013 \cdot 10^{2}$

Step 2

Move the decimal point in $0.00013$ to the right by $4$ places and decrease the power of $10^{2}$ by $4$ .

$1.3 \cdot 10^{- 2}$