What is \sqrt[4]{(2x+cot(2x-2))^3} ?

The solution to \sqrt[4]{(2x+cot(2x-2))^3} is (2x+cot(2x-2))^{3/4}

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simplify \sqrt[4]{(2x+cot(2x-2))^3}

simplify

(2 x + cot (2 x - 2))^{\frac{3}{4}}

Solution steps

Apply radical rule:

= ((2 x + cot (2 x - 2))^{3})^{\frac{1}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (2 x + cot (2 x - 2))^{3 \cdot \frac{1}{4}}

3 \cdot \frac{1}{4} = \frac{3}{4}

= (2 x + cot (2 x - 2))^{\frac{3}{4}}

24.5 \cdot 1 0^{- 3}

1.95 \cdot e^{- 133.33}

\frac{S ^{2}}{( S + a ) ^{2}}

3 e \cdot 3 e^{2}

e^{- \frac{200}{300}}

What is \sqrt[4]{(2x+cot(2x-2))^3} ?
The solution to \sqrt[4]{(2x+cot(2x-2))^3} is (2x+cot(2x-2))^{3/4}