Evaluate Using Scientific Notation (7.0610^5)÷5.310^-2

$7.06 \cdot 10^{5} \div 5.3 \cdot 10^{- 2}$

Step 1

Divide using scientific notation.

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

$(\frac{7.06}{5.3}) (\frac{10^{5}}{1}) \cdot 10^{- 2}$

Divide $7.06$ by $5.3$ .

$1.33207547 \frac{10^{5}}{1} \cdot 10^{- 2}$

Divide $10^{5}$ by $1$ .

$1.33207547 \cdot 10^{5} \cdot 10^{- 2}$

Step 2

Multiply $10^{5}$ by $10^{- 2}$ by adding the exponents.

Move $10^{- 2}$ .

$1.33207547 \cdot (10^{- 2} \cdot 10^{5})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$1.33207547 \cdot 10^{- 2 + 5}$

Add $- 2$ and $5$ .

$1.33207547 \cdot 10^{3}$

Evaluate Using Scientific Notation (7.06*10^5)÷5.3*10^-2