Evaluate Using Scientific Notation (4.4510^-3)(8.310^-2)

$(4.45 \cdot 10^{- 3}) (8.3 \cdot 10^{- 2})$

Step 1

Multiply $4.45$ by $8.3$ .

$36.935 (10^{- 3} \cdot 10^{- 2})$

Step 2

Multiply $10^{- 3}$ by $10^{- 2}$ by adding the exponents.

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

$36.935 \cdot 10^{- 3 - 2}$

Subtract $2$ from $- 3$ .

$36.935 \cdot 10^{- 5}$

Step 3

Move the decimal point in $36.935$ to the left by $1$ place and increase the power of $10^{- 5}$ by $1$ .

$3.6935 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (4.45*10^-3)(8.3*10^-2)