Evaluate Using Scientific Notation (310^-4)(-210^8)

$(3 \cdot 10^{- 4}) (- 2 \cdot 10^{8})$

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

$(3 \cdot - 2) (10^{- 4} \cdot 10^{8})$

Multiply $3$ by $- 2$ .

$- 6 (10^{- 4} \cdot 10^{8})$

Multiply $10^{- 4}$ by $10^{8}$ by adding the exponents.

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

$- 6 \cdot 10^{- 4 + 8}$

Add $- 4$ and $8$ .

$- 6 \cdot 10^{4}$

Evaluate Using Scientific Notation (3*10^-4)(-2*10^8)