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Simplify (910^-4)0.00009

$(9 \cdot 10^{- 4}) \cdot 0.00009$

Step 1

Convert $0.00009$ to scientific notation.

$9 \cdot 10^{- 4} \cdot 9 \cdot 10^{- 5}$

Step 2

Multiply $9$ by $9$ .

$81 (10^{- 4} \cdot 10^{- 5})$

Step 3

Multiply $10^{- 4}$ by $10^{- 5}$ by adding the exponents.

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

$81 \cdot 10^{- 4 - 5}$

Subtract $5$ from $- 4$ .

$81 \cdot 10^{- 9}$

$81 \cdot 10^{- 9}$

Step 4

Move the decimal point in $81$ to the left by $1$ place and increase the power of $10^{- 9}$ by $1$ .

$8.1 \cdot 10^{- 8}$

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