What is expand x^{1/5}(x+6) ?

The solution to expand x^{1/5}(x+6) is x^{6/5}+x^{1/5}*6

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expand x^{1/5}(x+6)

expand

x^{\frac{1}{5}} (x + 6)

x^{\frac{6}{5}} + x^{\frac{1}{5}} \cdot 6

Solution steps

x^{\frac{1}{5}} (x + 6)

Apply the distributive law:

a (b + c) = ab + a c

x^{\frac{1}{5}} (x + 6) = x^{\frac{1}{5}} x + x^{\frac{1}{5}} \cdot 6

= x^{\frac{1}{5}} x + x^{\frac{1}{5}} \cdot 6

Simplify

x^{\frac{1}{5}} x : x^{\frac{6}{5}}

= x^{\frac{6}{5}} + x^{\frac{1}{5}} \cdot 6

(x - 5)^{2}

(2 x y - tan (y)) d x + (x^{2} - x sec^{2} (y)) d y

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

(x - 1 + 3) (x - 1 - 3)

(\frac{8}{5} a + \frac{1}{3} b)^{2}

What is expand x^{1/5}(x+6) ?
The solution to expand x^{1/5}(x+6) is x^{6/5}+x^{1/5}*6