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Evaluate (910^-6)(410^-8)

$(9 \cdot 10^{- 6}) (4 \cdot 10^{- 8})$

Step 1

Multiply $9$ by $4$ .

$36 (10^{- 6} \cdot 10^{- 8})$

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.

$36 \cdot 10^{- 6 - 8}$

Subtract $8$ from $- 6$ .

$36 \cdot 10^{- 14}$

$36 \cdot 10^{- 14}$

Step 3

Move the decimal point in $36$ to the left by $1$ place and increase the power of $10^{- 14}$ by $1$ .

$3.6 \cdot 10^{- 13}$

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