Evaluate Using Scientific Notation (5.210^6)÷(810^-3)

$(5.2 \cdot 10^{6}) \div (8 \cdot 10^{- 3})$

Step 1

Divide using scientific notation.

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

$(\frac{5.2}{8}) (\frac{10^{6}}{10^{- 3}})$

Divide $5.2$ by $8$ .

$0.65 \frac{10^{6}}{10^{- 3}}$

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

$0.65 \cdot 10^{6 - 3 \cdot - 1}$

Multiply $- 3$ by $- 1$ .

$0.65 \cdot 10^{6 + 3}$

Add $6$ and $3$ .

$0.65 \cdot 10^{9}$

Step 2

Move the decimal point in $0.65$ to the right by $1$ place and decrease the power of $10^{9}$ by $1$ .

$6.5 \cdot 10^{8}$

Evaluate Using Scientific Notation (5.2*10^6)÷(8*10^-3)