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Popular >

simplify (-(4x)/(3a^2))^3

Solution

simplify

(- \frac{4 x}{3 a ^{2}})^{3}

Solution

- \frac{64 x ^{3}}{27 a ^{6}}

Solution steps

(- \frac{4 x}{3 a ^{2}})^{3}

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{4 x}{3 a ^{2}})^{3} = \frac{( 4 x ) ^{3}}{( 3 a ^{2} ) ^{3}}

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

Simplify

(4 x)^{3} : 64 x^{3}

= - \frac{64 x ^{3}}{( 3 a ^{2} ) ^{3}}

Simplify

(3 a^{2})^{3} : 27 a^{6}

= - \frac{64 x ^{3}}{27 a ^{6}}

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Frequently Asked Questions (FAQ)

What is (-(4x)/(3a^2))^3 ?
The solution to (-(4x)/(3a^2))^3 is -(64x^3)/(27a^6)