Evaluate Using Scientific Notation (5.210^6)(710^8)

$(5.2 \cdot 10^{6}) (7 \cdot 10^{8})$

Step 1

Multiply $5.2$ by $7$ .

$36.4 (10^{6} \cdot 10^{8})$

Step 2

Multiply $10^{6}$ by $10^{8}$ by adding the exponents.

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

$36.4 \cdot 10^{6 + 8}$

Add $6$ and $8$ .

$36.4 \cdot 10^{14}$

Step 3

Move the decimal point in $36.4$ to the left by $1$ place and increase the power of $10^{14}$ by $1$ .

$3.64 \cdot 10^{15}$

Evaluate Using Scientific Notation (5.2*10^6)(7*10^8)