Final Answer
$y=x^{4}k^{4}$
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Step-by-step Solution
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1
Removing the variable's exponent raising both sides of the equation to the power of $4$
$\left(\sqrt[4]{y}\right)^{\frac{1}{\frac{1}{4}}}=\left(xk\right)^{\frac{1}{\frac{1}{4}}}$
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$\left(\sqrt[4]{y}\right)^{\frac{1}{\frac{1}{4}}}=\left(xk\right)^{\frac{1}{\frac{1}{4}}}$
Learn how to solve radical equations and functions problems step by step online. Solve the equation with radicals y^1/4=xk. Removing the variable's exponent raising both sides of the equation to the power of 4. Divide 1 by \frac{1}{4}. Simplify \left(\sqrt[4]{y}\right)^{4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{4} and n equals 4. Multiply \frac{1}{4} times 4.
Final Answer
$y=x^{4}k^{4}$