Solve for y y^(1/4)=-5

$y^{\frac{1}{4}} = - 5$

Raise each side of the equation to the power of $4$ to eliminate the fractional exponent on the left side.

${(y^{\frac{1}{4}})}^{4} = {(- 5)}^{4}$

Simplify the exponent.

Simplify the left side.

Simplify ${(y^{\frac{1}{4}})}^{4}$ .

Multiply the exponents in ${(y^{\frac{1}{4}})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$y^{\frac{1}{4} \cdot 4} = {(- 5)}^{4}$

Cancel the common factor of $4$ .

Cancel the common factor.

$y^{\frac{1}{4} \cdot 4} = {(- 5)}^{4}$

Rewrite the expression.

$y^{1} = {(- 5)}^{4}$

Simplify.

$y = {(- 5)}^{4}$

Simplify the right side.

Raise $- 5$ to the power of $4$ .

$y = 625$

Exclude the solutions that do not make $y^{\frac{1}{4}} = - 5$ true.

$No solution$