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Popular >

simplify (16)^{(-3)/4}

Solution

simplify

(16)^{\frac{- 3}{4}}

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

1 6^{\frac{- 3}{4}}

Factor the number:

16 = 2^{4}

= (2^{4})^{\frac{- 3}{4}}

Apply exponent rule:

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

= 2^{4 \cdot \frac{- 3}{4}}

4 \cdot \frac{- 3}{4} = - 3

= 2^{- 3}

Apply exponent rule:

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

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

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

2^{3} = 8

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is (16)^{(-3)/4} ?
The solution to (16)^{(-3)/4} is 1/8