Evaluate Using Scientific Notation (12.310^8)(1.0610^-7)

$(12.3 \cdot 10^{8}) (1.06 \cdot 10^{- 7})$

Step 1

Multiply $12.3$ by $1.06$ .

$13.038 (10^{8} \cdot 10^{- 7})$

Step 2

Multiply $10^{8}$ by $10^{- 7}$ by adding the exponents.

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

$13.038 \cdot 10^{8 - 7}$

Subtract $7$ from $8$ .

$13.038 \cdot 10^{1}$

Step 3

Simplify $10^{1}$ .

$13.038 \cdot 10$

Step 4

Multiply $13.038$ by $10$ .

$130.38$

Evaluate Using Scientific Notation (12.3*10^8)(1.06*10^-7)