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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Simplify

(x^{2})^{4} : x^{8}

= \frac{x ^{8}}{( y ^{3} ) ^{4}}

Simplify

(y^{3})^{4} : y^{12}

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

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Frequently Asked Questions (FAQ)

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