Evaluate Using Scientific Notation (8.310^3)(3*10^-6)

$(8.3 \cdot 10^{3}) \cdot (3 \cdot 10^{- 6})$

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

$(8.3 \cdot 3) (10^{3} \cdot 10^{- 6})$

Multiply $8.3$ by $3$ .

$24.9 (10^{3} \cdot 10^{- 6})$

Multiply $10^{3}$ by $10^{- 6}$ by adding the exponents.

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

$24.9 \cdot 10^{3 - 6}$

Subtract $6$ from $3$ .

$24.9 \cdot 10^{- 3}$

Write $24.9 \cdot 10^{- 3}$ in proper scientific notation.

$2.49 \cdot 10^{- 2}$

Convert $2.49 \cdot 10^{- 2}$ from scientific notation.

$0.0249$

Evaluate Using Scientific Notation (8.3*10^3)*(3*10^-6)