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Popular >

simplify (3^x*3^-y)^{-2}

Solution

simplify

(3^{x} \cdot 3^{-} y)^{- 2}

Solution

\frac{1}{9 ^{x} y ^{2}}

Solution steps

(3^{x} \cdot 3^{-} y)^{- 2}

Apply exponent rule:

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

= \frac{1}{( 3 ^{-} \cdot 3 ^{x} y ) ^{2}}

(3^{x} \cdot 3^{-} y)^{2} = (3^{x} y)^{2}

= \frac{1}{( 3 ^{x} y ) ^{2}}

(3^{x -} y)^{2} = 3^{2 (x)} y^{2}

= \frac{1}{3 ^{2 (x)} y ^{2}}

3^{(x -) \cdot 2} = 9^{x}

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

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Frequently Asked Questions (FAQ)

What is (3^x*3^-y)^{-2} ?
The solution to (3^x*3^-y)^{-2} is 1/(9^xy^2)