Evaluate Using Scientific Notation (5.8810^12)(9.810^1)

$(5.88 \cdot 10^{12}) (9.8 \cdot 10^{1})$

Step 1

Multiply $5.88$ by $9.8$ .

$57.624 (10^{12} \cdot 10^{1})$

Step 2

Multiply $10^{12}$ by $10^{1}$ by adding the exponents.

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

$57.624 \cdot 10^{12 + 1}$

Add $12$ and $1$ .

$57.624 \cdot 10^{13}$

Step 3

Move the decimal point in $57.624$ to the left by $1$ place and increase the power of $10^{13}$ by $1$ .

$5.7624 \cdot 10^{14}$

Evaluate Using Scientific Notation (5.88*10^12)(9.8*10^1)