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Popular >

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

Solution

simplify

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

Solution

\frac{8}{9}

+1

Decimal Notation

0.88888 \dots

Solution steps

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

Apply rule:

(a) = a

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

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

2^{3} = 8

= 8 \cdot 3^{- 2}

Apply exponent rule:

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

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

= 8 \cdot \frac{1}{3 ^{2}}

3^{2} = 9

= 8 \cdot \frac{1}{9}

8 \cdot \frac{1}{9} = \frac{8}{9}

= \frac{8}{9}

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Frequently Asked Questions (FAQ)

What is 2^3(3^{-2}) ?
The solution to 2^3(3^{-2}) is 8/9