Evaluate (4.310^-8)(1.510^9)

$(4.3 \cdot 10^{- 8}) (1.5 \cdot 10^{9})$

Step 1

Multiply $4.3$ by $1.5$ .

$6.45 (10^{- 8} \cdot 10^{9})$

Step 2

Multiply $10^{- 8}$ by $10^{9}$ by adding the exponents.

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

$6.45 \cdot 10^{- 8 + 9}$

Add $- 8$ and $9$ .

$6.45 \cdot 10^{1}$

Step 3

Simplify $10^{1}$ .

$6.45 \cdot 10$

Step 4

Multiply $6.45$ by $10$ .

$64.5$

Evaluate (4.3*10^-8)(1.5*10^9)