Solve for: \sqrt[4]{c^5}

Expression: $\sqrt[4]{{c}^{5}}$

Rewrite the exponent as a sum where one of the addends is a multiple of the index


Use ${a}^{m+n}={a}^{m} \times {a}^{n}$ to expand the expression

$\sqrt[4]{{c}^{4} \times {c}^{1}}$

Any expression raised to the power of $1$ equals itself

$\sqrt[4]{{c}^{4} \times c}$

The root of a product is equal to the product of the roots of each factor


Reduce the index of the radical and exponent with $4$