What is the answer to p^{-3/4}=8 ?

The answer to p^{-3/4}=8 is p= 1/16

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p^{-3/4}=8

p^{- \frac{3}{4}} = 8

p = \frac{1}{16}

Decimal Notation

p = 0.0625

Solution steps

p^{- \frac{3}{4}} = 8

Take both sides of the equation to the power of

- 4 : p^{3} = \frac{1}{4096}

p^{3} = \frac{1}{4096}

Solve

p^{3} = \frac{1}{4096} : p = \frac{1}{16}

p = \frac{1}{16}

Verify Solutions:

p = \frac{1}{16}

True

The solution is

p = \frac{1}{16}

9 x^{\frac{7}{2}} - 63 = 0

\frac{6 ( x + 4 ) - 4}{2} = 4

x, x^{0.7} = 2

3 = 16 m - 5

25 - x^{2} - 4 25 - x^{2} = 0