Evaluate Using Scientific Notation (4.1110^5)(8.6510^-5)

$(4.11 \cdot 10^{5}) (8.65 \cdot 10^{- 5})$

Step 1

Multiply $4.11$ by $8.65$ .

$35.5515 (10^{5} \cdot 10^{- 5})$

Step 2

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

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

$35.5515 \cdot 10^{5 - 5}$

Subtract $5$ from $5$ .

$35.5515 \cdot 10^{0}$

Step 3

Simplify $10^{0}$ .

$35.5515 \cdot 1$

Step 4

Multiply $35.5515$ by $1$ .

$35.5515$

Evaluate Using Scientific Notation (4.11*10^5)(8.65*10^-5)