Evaluate Using Scientific Notation (7.210^7)(510^-15)

$(7.2 \cdot 10^{7}) (5 \cdot 10^{- 15})$

Step 1

Multiply $7.2$ by $5$ .

$36 (10^{7} \cdot 10^{- 15})$

Step 2

Multiply $10^{7}$ by $10^{- 15}$ by adding the exponents.

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

$36 \cdot 10^{7 - 15}$

Subtract $15$ from $7$ .

$36 \cdot 10^{- 8}$

Step 3

Move the decimal point in $36$ to the left by $1$ place and increase the power of $10^{- 8}$ by $1$ .

$3.6 \cdot 10^{- 7}$

Evaluate Using Scientific Notation (7.2*10^7)(5*10^-15)