Evaluate (9.3210^-3)(9.310^-6)

$(9.32 \cdot 10^{- 3}) (9.3 \cdot 10^{- 6})$

Step 1

Multiply $9.32$ by $9.3$ .

$86.676 (10^{- 3} \cdot 10^{- 6})$

Step 2

Multiply $10^{- 3}$ by $10^{- 6}$ by adding the exponents.

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

$86.676 \cdot 10^{- 3 - 6}$

Subtract $6$ from $- 3$ .

$86.676 \cdot 10^{- 9}$

Step 3

Move the decimal point in $86.676$ to the left by $1$ place and increase the power of $10^{- 9}$ by $1$ .

$8.6676 \cdot 10^{- 8}$

Evaluate (9.32*10^-3)(9.3*10^-6)