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Popular >

simplify (-(3x^2)/(2y^3))^3

Solution

simplify

(- \frac{3 x ^{2}}{2 y ^{3}})^{3}

Solution

- \frac{27 x ^{6}}{8 y ^{9}}

Solution steps

(- \frac{3 x ^{2}}{2 y ^{3}})^{3}

Apply exponent rule:

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

if

n

is odd

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

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

Apply exponent rule:

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

(\frac{3 x ^{2}}{2 y ^{3}})^{3} = \frac{( 3 x ^{2} ) ^{3}}{( 2 y ^{3} ) ^{3}}

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

Simplify

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

= - \frac{27 x ^{6}}{( 2 y ^{3} ) ^{3}}

Simplify

(2 y^{3})^{3} : 8 y^{9}

= - \frac{27 x ^{6}}{8 y ^{9}}

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Frequently Asked Questions (FAQ)

What is (-(3x^2)/(2y^3))^3 ?
The solution to (-(3x^2)/(2y^3))^3 is -(27x^6)/(8y^9)