What is (2x^4-1/(4x^6))^8 ?

The solution to (2x^4-1/(4x^6))^8 is ((8x^{10}-1)^8)/(65536x^{48)}

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simplify (2x^4-1/(4x^6))^8

simplify

(2 x^{4} - \frac{1}{4 x ^{6}})^{8}

\frac{( 8 x ^{10} - 1 ) ^{8}}{65536 x ^{48}}

Solution steps

(2 x^{4} - \frac{1}{4 x ^{6}})^{8}

Join

2 x^{4} - \frac{1}{4 x ^{6}} : \frac{8 x ^{10} - 1}{4 x ^{6}}

= (\frac{8 x ^{10} - 1}{4 x ^{6}})^{8}

Apply exponent rule:

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

= \frac{( 8 x ^{10} - 1 ) ^{8}}{( 4 x ^{6} ) ^{8}}

Simplify

(4 x^{6})^{8} : 65536 x^{48}

= \frac{( 8 x ^{10} - 1 ) ^{8}}{65536 x ^{48}}

2 cos^{2} (x) - 1

\frac{sin ( x )}{tan ( x )}

2 x^{4} - 18 x^{2}

1 - sin^{2} (θ)

sin^{2} (3 x) + cos^{2} (3 x)

What is (2x^4-1/(4x^6))^8 ?
The solution to (2x^4-1/(4x^6))^8 is ((8x^{10}-1)^8)/(65536x^{48)}