What is ((x^2y^4)/(4m^3))^5 ?

The solution to ((x^2y^4)/(4m^3))^5 is (x^{10}y^{20})/(1024m^{15)}

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simplify ((x^2y^4)/(4m^3))^5

simplify

(\frac{x ^{2} y ^{4}}{4 m ^{3}})^{5}

\frac{x ^{10} y ^{20}}{1024 m ^{15}}

Solution steps

(\frac{x ^{2} y ^{4}}{4 m ^{3}})^{5}

Apply exponent rule:

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

= \frac{( x ^{2} y ^{4} ) ^{5}}{( 4 m ^{3} ) ^{5}}

Simplify

(x^{2} y^{4})^{5} : x^{10} y^{20}

= \frac{x ^{10} y ^{20}}{( 4 m ^{3} ) ^{5}}

Simplify

(4 m^{3})^{5} : 1024 m^{15}

= \frac{x ^{10} y ^{20}}{1024 m ^{15}}

\frac{cos ^{2} ( y )}{1 - sin ( y )}

3 \frac{5}{6} - 1 \frac{3}{6}

\frac{5 b}{3 a} + \frac{4 b}{3 a}

(3 + i) - (4 - 3 i)

\frac{2}{8} \div \frac{3}{4} \div \frac{6}{5}

What is ((x^2y^4)/(4m^3))^5 ?
The solution to ((x^2y^4)/(4m^3))^5 is (x^{10}y^{20})/(1024m^{15)}