Evaluate Using Scientific Notation (9.1610^-3)(5.510^6)

$(9.16 \cdot 10^{- 3}) (5.5 \cdot 10^{6})$

Step 1

Multiply $9.16$ by $5.5$ .

$50.38 (10^{- 3} \cdot 10^{6})$

Step 2

Multiply $10^{- 3}$ by $10^{6}$ by adding the exponents.

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

$50.38 \cdot 10^{- 3 + 6}$

Add $- 3$ and $6$ .

$50.38 \cdot 10^{3}$

Step 3

Move the decimal point in $50.38$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$5.038 \cdot 10^{4}$

Evaluate Using Scientific Notation (9.16*10^-3)(5.5*10^6)