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Popular >

simplify (9^{-3})/(9^6)

Solution

simplify

\frac{9 ^{- 3}}{9 ^{6}}

Solution

\frac{1}{387420489}

+1

Decimal Notation

2.58117 E - 9

Solution steps

\frac{9 ^{- 3}}{9 ^{6}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 9^{- 3 - 6}

Subtract the numbers:

- 3 - 6 = - 9

= 9^{- 9}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{9 ^{9}}

9^{9} = 387420489

= \frac{1}{387420489}

Popular Examples

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d-4>3\lor d-4<= 1

d - 4 > 3 or d - 4 \leq 1

factor s^6-t^3 factor

s^{6} - t^{3}

simplify 1/(1-1/8)simplify

\frac{1}{1 - \frac{1}{8}}

Frequently Asked Questions (FAQ)

What is (9^{-3})/(9^6) ?
The solution to (9^{-3})/(9^6) is 1/387420489