Evaluate Using Scientific Notation (3.210^5)(710^-2)

$(3.2 \cdot 10^{5}) (7 \cdot 10^{- 2})$

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

$(3.2 \cdot 7) (10^{5} \cdot 10^{- 2})$

Multiply $3.2$ by $7$ .

$22.4 (10^{5} \cdot 10^{- 2})$

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

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

$22.4 \cdot 10^{5 - 2}$

Subtract $2$ from $5$ .

$22.4 \cdot 10^{3}$

Write $22.4 \cdot 10^{3}$ in proper scientific notation.

$2.24 \cdot 10^{4}$

Evaluate Using Scientific Notation (3.2*10^5)(7*10^-2)