Evaluate Using Scientific Notation (7.310^-3)(7.410^6)

$(7.3 \cdot 10^{- 3}) (7.4 \cdot 10^{6})$

Step 1

Multiply $7.3$ by $7.4$ .

$54.02 (10^{- 3} \cdot 10^{6})$

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.

$54.02 \cdot 10^{- 3 + 6}$

Add $- 3$ and $6$ .

$54.02 \cdot 10^{3}$

Step 3

Move the decimal point in $54.02$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$5.402 \cdot 10^{4}$

Evaluate Using Scientific Notation (7.3*10^-3)(7.4*10^6)