What is \sqrt[4]{(5x^2+2x-6)^3} ?

The solution to \sqrt[4]{(5x^2+2x-6)^3} is (5x^2+2x-6)^{3/4}

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simplify \sqrt[4]{(5x^2+2x-6)^3}

simplify

(5 x^{2} + 2 x - 6)^{\frac{3}{4}}

Solution steps

Apply radical rule:

= ((5 x^{2} + 2 x - 6)^{3})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (5 x^{2} + 2 x - 6)^{3 \cdot \frac{1}{4}}

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

= (5 x^{2} + 2 x - 6)^{\frac{3}{4}}

(3^{5} 0. 3^{0} 0. 3^{3}) (3^{2} 0. 3^{4})

\frac{10000}{1.05} (1.05)^{- 25} e^{- 0.06 (25)}

x^{5} \cdot e^{- 3 l n (x)}

\frac{1}{2} \cdot 9.8 \cdot \frac{100 0 ^{2}}{36 0 ^{2}}

(\frac{A \cdot y}{x})^{0.5} \cdot A^{0.5}

What is \sqrt[4]{(5x^2+2x-6)^3} ?
The solution to \sqrt[4]{(5x^2+2x-6)^3} is (5x^2+2x-6)^{3/4}