What is (q^{3/5})/(q^{2/5)} ?

The solution to (q^{3/5})/(q^{2/5)} is q^{1/5}

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simplify (q^{3/5})/(q^{2/5)}

simplify

\frac{q ^{\frac{3}{5}}}{q ^{\frac{2}{5}}}

q^{\frac{1}{5}}

Solution steps

\frac{q ^{\frac{3}{5}}}{q ^{\frac{2}{5}}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= q^{\frac{3}{5} - \frac{2}{5}}

Combine the fractions

\frac{3}{5} - \frac{2}{5} : \frac{1}{5}

= q^{\frac{1}{5}}

\frac{3 2 - 2 3}{3 2 + 2 3}

\frac{x}{3} + \frac{1}{4} = 2

9 q - (q - 2) = 6 q + 2 (q + 1)

x^{3} + 9 x^{2} + 4 x + 36

i \cdot (- i)