Evaluate Using Scientific Notation (310^-6)(610^-8)

$(3 \cdot 10^{- 6}) (6 \cdot 10^{- 8})$

Step 1

Multiply $3$ by $6$ .

$18 (10^{- 6} \cdot 10^{- 8})$

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.

$18 \cdot 10^{- 6 - 8}$

Subtract $8$ from $- 6$ .

$18 \cdot 10^{- 14}$

Step 3

Move the decimal point in $18$ to the left by $1$ place and increase the power of $10^{- 14}$ by $1$ .

$1.8 \cdot 10^{- 13}$

Evaluate Using Scientific Notation (3*10^-6)(6*10^-8)