Evaluate Using Scientific Notation (7.110^-8)(810^4)

$(7.1 \cdot 10^{- 8}) (8 \cdot 10^{4})$

Step 1

Multiply $7.1$ by $8$ .

$56.8 (10^{- 8} \cdot 10^{4})$

Step 2

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

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

$56.8 \cdot 10^{- 8 + 4}$

Add $- 8$ and $4$ .

$56.8 \cdot 10^{- 4}$

Step 3

Move the decimal point in $56.8$ to the left by $1$ place and increase the power of $10^{- 4}$ by $1$ .

$5.68 \cdot 10^{- 3}$

Evaluate Using Scientific Notation (7.1*10^-8)(8*10^4)