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Popular >

simplify 3^0(3^{-2})

Solution

simplify

3^{0} (3^{- 2})

Solution

\frac{1}{9}

+1

Decimal Notation

0.11111 \dots

Solution steps

3^{0} (3^{- 2})

Apply rule:

(a) = a

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

= 3^{0} \cdot 3^{- 2}

Apply exponent rule:

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

3^{0} \cdot 3^{- 2} = 3^{0 - 2}

= 3^{0 - 2}

Subtract the numbers:

0 - 2 = - 2

= 3^{- 2}

Apply exponent rule:

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

3^{- 2} = \frac{1}{3 ^{2}}

= \frac{1}{3 ^{2}}

3^{2} = 9

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is 3^0(3^{-2}) ?
The solution to 3^0(3^{-2}) is 1/9