What is (1/(3x)-2x)^{16} ?

The solution to (1/(3x)-2x)^{16} is ((-6x^2+1)^{16})/(43046721x^{16)}

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simplify (1/(3x)-2x)^{16}

simplify

(\frac{1}{3 x} - 2 x)^{16}

\frac{( - 6 x ^{2} + 1 ) ^{16}}{43046721 x ^{16}}

Solution steps

(\frac{1}{3 x} - 2 x)^{16}

Join

\frac{1}{3 x} - 2 x : \frac{- 6 x ^{2} + 1}{3 x}

= (\frac{- 6 x ^{2} + 1}{3 x})^{16}

Apply exponent rule:

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

= \frac{( - 6 x ^{2} + 1 ) ^{16}}{( 3 x ) ^{16}}

Simplify

(3 x)^{16} : 43046721 x^{16}

= \frac{( - 6 x ^{2} + 1 ) ^{16}}{43046721 x ^{16}}

4 (3 m + 2 n) (3 m + 2 n)

(- 3 + 2 i) (2 - 3 i)

\frac{1}{1 + sin ( θ )} + \frac{1}{1 - sin ( θ )}

- 7 \cdot 5

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

What is (1/(3x)-2x)^{16} ?
The solution to (1/(3x)-2x)^{16} is ((-6x^2+1)^{16})/(43046721x^{16)}