What is expand (x/(2-5y))^4 ?

The solution to expand (x/(2-5y))^4 is (x^4)/(16-160y+600y^2-1000y^3+625y^4)

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expand (x/(2-5y))^4

expand

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

\frac{x ^{4}}{16 - 160 y + 600 y ^{2} - 1000 y ^{3} + 625 y ^{4}}

Solution steps

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

Apply exponent rule:

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

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

(2 - 5 y)^{4} = 16 - 160 y + 600 y^{2} - 1000 y^{3} + 625 y^{4}

= \frac{x ^{4}}{16 - 160 y + 600 y ^{2} - 1000 y ^{3} + 625 y ^{4}}

\frac{n + 1}{( 3 n + 1 ) ^{15}}

(4 e - 7 f)^{3}

(2 - i)^{6}

(1 - 3)^{4}

t (e^{t} + e^{3 t})^{2}

What is expand (x/(2-5y))^4 ?
The solution to expand (x/(2-5y))^4 is (x^4)/(16-160y+600y^2-1000y^3+625y^4)