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Popular >

simplify 16^{(-5)/4}

Solution

simplify

1 6^{\frac{- 5}{4}}

Solution

\frac{1}{32}

+1

Solution steps

1 6^{\frac{- 5}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{\frac{- 5}{4}}

Apply exponent rule:

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

= 2^{4 \cdot \frac{- 5}{4}}

4 \cdot \frac{- 5}{4} = - 5

= 2^{- 5}

Apply exponent rule:

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

2^{- 5} = \frac{1}{2 ^{5}}

= \frac{1}{2 ^{5}}

2^{5} = 32

= \frac{1}{32}

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Frequently Asked Questions (FAQ)

What is 16^{(-5)/4} ?
The solution to 16^{(-5)/4} is 1/32