Evaluate Using Scientific Notation (5.8810^12)(2.2310^2)

$(5.88 \cdot 10^{12}) (2.23 \cdot 10^{2})$

Step 1

Multiply $5.88$ by $2.23$ .

$13.1124 (10^{12} \cdot 10^{2})$

Step 2

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

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

$13.1124 \cdot 10^{12 + 2}$

Add $12$ and $2$ .

$13.1124 \cdot 10^{14}$

Step 3

Move the decimal point in $13.1124$ to the left by $1$ place and increase the power of $10^{14}$ by $1$ .

$1.31124 \cdot 10^{15}$

Evaluate Using Scientific Notation (5.88*10^12)(2.23*10^2)