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Popular >

simplify (-3/4 p)^3

Solution

simplify

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

Solution

- \frac{27 p ^{3}}{64}

Solution steps

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

Apply exponent rule:

(- a)^{n} = - a^{n},

if

n

is odd

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(\frac{3}{4} p)^{3} = (\frac{3}{4})^{3} p^{3}

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

(\frac{3}{4})^{3} = \frac{27}{64}

= - \frac{27}{64} p^{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{27 p ^{3}}{64}

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Frequently Asked Questions (FAQ)

What is (-3/4 p)^3 ?
The solution to (-3/4 p)^3 is -(27p^3)/(64)