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Popular >

simplify (8^3)^9*8^{-4'}

Solution

simplify

(8^{3})^{9} \cdot 8^{- 4^{'}}

Solution

8^{- 4' + 27}

Solution steps

(8^{3})^{9} \cdot 8^{- 4^{'}}

(8^{3})^{9} : 8^{27}

= 8^{27} \cdot 8^{- 4^{^{'}}}

Apply exponent rule:

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

= 8^{27} \cdot \frac{1}{8 ^{4^{^{'}}}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 8 ^{27}}{8 ^{4^{^{'}}}}

Multiply:

1 \cdot 8^{27} = 8^{27}

= \frac{8 ^{27}}{8 ^{4^{^{'}}}}

Apply exponent rule:

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

\frac{8 ^{27}}{8 ^{4^{'}}} = 8^{27 - 4^{'}}

= 8^{27 - 4^{^{'}}}

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Frequently Asked Questions (FAQ)

What is (8^3)^9*8^{-4'} ?
The solution to (8^3)^9*8^{-4'} is 8^{-4'+27}