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Evaluate (9.410^-5)(5.310^-8)

$(9.4 \cdot 10^{- 5}) (5.3 \cdot 10^{- 8})$

Step 1

Multiply $9.4$ by $5.3$ .

$49.82 (10^{- 5} \cdot 10^{- 8})$

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.

$49.82 \cdot 10^{- 5 - 8}$

Subtract $8$ from $- 5$ .

$49.82 \cdot 10^{- 13}$

$49.82 \cdot 10^{- 13}$

Step 3

Move the decimal point in $49.82$ to the left by $1$ place and increase the power of $10^{- 13}$ by $1$ .

$4.982 \cdot 10^{- 12}$

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