Evaluate Using Scientific Notation (710^-5)(5*10^-8)

$(7 \cdot 10^{- 5}) \cdot (5 \cdot 10^{- 8})$

Step 1

Multiply $7$ by $5$ .

$35 (10^{- 5} \cdot 10^{- 8})$

Step 2

Multiply $10^{- 5}$ by $10^{- 8}$ by adding the exponents.

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

$35 \cdot 10^{- 5 - 8}$

Subtract $8$ from $- 5$ .

$35 \cdot 10^{- 13}$

Step 3

Move the decimal point in $35$ to the left by $1$ place and increase the power of $10^{- 13}$ by $1$ .

$3.5 \cdot 10^{- 12}$

Evaluate Using Scientific Notation (7*10^-5)*(5*10^-8)