Evaluate Using Scientific Notation (3.810^3)(9.4*10^-5)

$(3.8 \cdot 10^{3}) \cdot (9.4 \cdot 10^{- 5})$

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

$(3.8 \cdot 9.4) (10^{3} \cdot 10^{- 5})$

Multiply $3.8$ by $9.4$ .

$35.72 (10^{3} \cdot 10^{- 5})$

Multiply $10^{3}$ by $10^{- 5}$ by adding the exponents.

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

$35.72 \cdot 10^{3 - 5}$

Subtract $5$ from $3$ .

$35.72 \cdot 10^{- 2}$

Write $35.72 \cdot 10^{- 2}$ in proper scientific notation.

$3.572 \cdot 10^{- 1}$

Convert $3.572 \cdot 10^{- 1}$ from scientific notation.

$0.3572$

Evaluate Using Scientific Notation (3.8*10^3)*(9.4*10^-5)