What is \sqrt[4]{(e^x+tan(x))^3} ?

The solution to \sqrt[4]{(e^x+tan(x))^3} is (e^x+tan(x))^{3/4}

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simplify \sqrt[4]{(e^x+tan(x))^3}

simplify

(e^{x} + tan (x))^{\frac{3}{4}}

Solution steps

Apply radical rule:

= ((e^{x} + tan (x))^{3})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (e^{x} + tan (x))^{3 \cdot \frac{1}{4}}

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

= (e^{x} + tan (x))^{\frac{3}{4}}

(5.4 x 1 0^{8}) (7.3 x 1 0^{6})

4.2 x 1 0^{- 3}

g (f^{- 1}) (e)

2.49 \cdot 1 0^{- 3}

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