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Popular >

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

Solution

simplify

(4^{3 - 8})^{9^{4}}

Solution

\frac{1}{4 ^{32805}}

Solution steps

(4^{3 - 8})^{9^{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

(3 - 8) \cdot 9^{4} = - 32805

= 4^{- 32805}

Apply exponent rule:

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

4^{- 32805} = \frac{1}{4 ^{32805}}

= \frac{1}{4 ^{32805}}

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Frequently Asked Questions (FAQ)

What is (4^{3-8})^{9^4} ?
The solution to (4^{3-8})^{9^4} is 1/(4^{32805)}