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

4 (- \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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-(1+7x)-6(-7-x)=36

- (1 + 7 x) - 6 (- 7 - x) = 36

Frequently Asked Questions (FAQ)

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