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Popular >

simplify ((3x^4)/(2y^3))^3

Solution

simplify

(\frac{3 x ^{4}}{2 y ^{3}})^{3}

Solution

\frac{27 x ^{12}}{8 y ^{9}}

Solution steps

(\frac{3 x ^{4}}{2 y ^{3}})^{3}

Apply exponent rule:

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

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

Simplify

(3 x^{4})^{3} : 27 x^{12}

= \frac{27 x ^{12}}{( 2 y ^{3} ) ^{3}}

Simplify

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

= \frac{27 x ^{12}}{8 y ^{9}}

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Frequently Asked Questions (FAQ)

What is ((3x^4)/(2y^3))^3 ?
The solution to ((3x^4)/(2y^3))^3 is (27x^{12})/(8y^9)