Evaluate Using Scientific Notation (5.210^15)(6.510^-8)

$(5.2 \cdot 10^{15}) (6.5 \cdot 10^{- 8})$

Step 1

Multiply $5.2$ by $6.5$ .

$33.8 (10^{15} \cdot 10^{- 8})$

Step 2

Multiply $10^{15}$ by $10^{- 8}$ by adding the exponents.

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

$33.8 \cdot 10^{15 - 8}$

Subtract $8$ from $15$ .

$33.8 \cdot 10^{7}$

Step 3

Move the decimal point in $33.8$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$3.38 \cdot 10^{8}$

Evaluate Using Scientific Notation (5.2*10^15)(6.5*10^-8)