What is (x^5-1/(4x^5))^2 ?

The solution to (x^5-1/(4x^5))^2 is ((4x^{10}-1)^2)/(16x^{10)}

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simplify (x^5-1/(4x^5))^2

simplify

(x^{5} - \frac{1}{4 x ^{5}})^{2}

\frac{( 4 x ^{10} - 1 ) ^{2}}{16 x ^{10}}

Solution steps

(x^{5} - \frac{1}{4 x ^{5}})^{2}

Join

x^{5} - \frac{1}{4 x ^{5}} : \frac{4 x ^{10} - 1}{4 x ^{5}}

= (\frac{4 x ^{10} - 1}{4 x ^{5}})^{2}

Apply exponent rule:

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

= \frac{( 4 x ^{10} - 1 ) ^{2}}{( 4 x ^{5} ) ^{2}}

Simplify

(4 x^{5})^{2} : 16 x^{10}

= \frac{( 4 x ^{10} - 1 ) ^{2}}{16 x ^{10}}

\frac{x ^{2} + 3 x - 4}{x + 4}

\frac{25}{125}

\frac{tan ^{2} ( θ ) + 1}{tan ( θ ) csc ^{2} ( θ )}

(2 x - y)^{7}

10 \div 6 \frac{3}{7}

What is (x^5-1/(4x^5))^2 ?
The solution to (x^5-1/(4x^5))^2 is ((4x^{10}-1)^2)/(16x^{10)}