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

The solution to ((2x^2)/(3y^3))^5 is (32x^{10})/(243y^{15)}

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

simplify

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

\frac{32 x ^{10}}{243 y ^{15}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

(2 x^{2})^{5} : 32 x^{10}

= \frac{32 x ^{10}}{( 3 y ^{3} ) ^{5}}

Simplify

(3 y^{3})^{5} : 243 y^{15}

= \frac{32 x ^{10}}{243 y ^{15}}

(1 - 3 i) (1 - i) (1 + i) (1 + 3 i)

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

\frac{4}{3 x} - \frac{5}{7}

\frac{6 x ^{2} + x - 2}{9 x ^{2} - 4}

(z - 4)^{2}

What is ((2x^2)/(3y^3))^5 ?
The solution to ((2x^2)/(3y^3))^5 is (32x^{10})/(243y^{15)}