Evaluate Using Scientific Notation (3.110^5)(4.510^-4)

$(3.1 \cdot 10^{5}) (4.5 \cdot 10^{- 4})$

Step 1

Multiply $3.1$ by $4.5$ .

$13.95 (10^{5} \cdot 10^{- 4})$

Step 2

Multiply $10^{5}$ by $10^{- 4}$ by adding the exponents.

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

$13.95 \cdot 10^{5 - 4}$

Subtract $4$ from $5$ .

$13.95 \cdot 10^{1}$

Step 3

Simplify $10^{1}$ .

$13.95 \cdot 10$

Step 4

Multiply $13.95$ by $10$ .

$139.5$

Evaluate Using Scientific Notation (3.1*10^5)(4.5*10^-4)