Evaluate Using Scientific Notation (8.9110^2)(3.310^12)

$(8.91 \cdot 10^{2}) (3.3 \cdot 10^{12})$

Step 1

Multiply $8.91$ by $3.3$ .

$29.403 (10^{2} \cdot 10^{12})$

Step 2

Multiply $10^{2}$ by $10^{12}$ by adding the exponents.

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

$29.403 \cdot 10^{2 + 12}$

Add $2$ and $12$ .

$29.403 \cdot 10^{14}$

Step 3

Move the decimal point in $29.403$ to the left by $1$ place and increase the power of $10^{14}$ by $1$ .

$2.9403 \cdot 10^{15}$

Evaluate Using Scientific Notation (8.91*10^2)(3.3*10^12)