Evaluate Using Scientific Notation (510^-4)(1.210^8)

$(5 \cdot 10^{- 4}) (1.2 \cdot 10^{8})$

Step 1

Multiply $5$ by $1.2$ .

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

Step 2

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 (5*10^-4)(1.2*10^8)