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Popular >

simplify 9^4*9^{-6}

Solution

simplify

9^{4} \cdot 9^{- 6}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

9^{4} \cdot 9^{- 6}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

9^{4} \cdot 9^{- 6} = 9^{4 - 6}

= 9^{4 - 6}

Subtract the numbers:

4 - 6 = - 2

= 9^{- 2}

Apply exponent rule:

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

9^{- 2} = \frac{1}{9 ^{2}}

= \frac{1}{9 ^{2}}

9^{2} = 81

= \frac{1}{81}

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Frequently Asked Questions (FAQ)

What is 9^4*9^{-6} ?
The solution to 9^4*9^{-6} is 1/81