What is ((2x^3)/(3y^5z))^3 ?

The solution to ((2x^3)/(3y^5z))^3 is (8x^9)/(27y^{15)z^3}

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simplify ((2x^3)/(3y^5z))^3

simplify

(\frac{2 x ^{3}}{3 y ^{5} z})^{3}

\frac{8 x ^{9}}{27 y ^{15} z ^{3}}

Solution steps

(\frac{2 x ^{3}}{3 y ^{5} z})^{3}

Apply exponent rule:

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

= \frac{( 2 x ^{3} ) ^{3}}{( 3 y ^{5} z ) ^{3}}

Simplify

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

= \frac{8 x ^{9}}{( 3 y ^{5} z ) ^{3}}

Simplify

(3 y^{5} z)^{3} : 27 y^{15} z^{3}

= \frac{8 x ^{9}}{27 y ^{15} z ^{3}}

6 (a + 2 b + 3 c)

(1 + cos (2 x))^{3}

(11 c^{4})^{3}

\frac{5}{2 + 7}

\frac{- 180}{10}

What is ((2x^3)/(3y^5z))^3 ?
The solution to ((2x^3)/(3y^5z))^3 is (8x^9)/(27y^{15)z^3}