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Popular >

simplify 3^2(3^{-2})

Solution

simplify

3^{2} (3^{- 2})

Solution

1

Solution steps

3^{2} (3^{- 2})

Apply rule:

(a) = a

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

= 3^{2} \cdot 3^{- 2}

Apply exponent rule:

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

3^{2} \cdot 3^{- 2} = 3^{2 - 2}

= 3^{2 - 2}

Subtract the numbers:

2 - 2 = 0

= 3^{0}

Apply exponent rule:

a^{0} = 1, a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

What is 3^2(3^{-2}) ?
The solution to 3^2(3^{-2}) is 1