Processing math: 100%

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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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