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Popular >

simplify 9^2*9^{-8}

Solution

simplify

9^{2} \cdot 9^{- 8}

Solution

\frac{1}{531441}

+1

Decimal Notation

1.88168 E - 6

Solution steps

9^{2} \cdot 9^{- 8}

Apply exponent rule:

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

9^{2} \cdot 9^{- 8} = 9^{2 - 8}

= 9^{2 - 8}

Subtract the numbers:

2 - 8 = - 6

= 9^{- 6}

Apply exponent rule:

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

9^{- 6} = \frac{1}{9 ^{6}}

= \frac{1}{9 ^{6}}

9^{6} = 531441

= \frac{1}{531441}

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Frequently Asked Questions (FAQ)

What is 9^2*9^{-8} ?
The solution to 9^2*9^{-8} is 1/531441