Solve x=4^4/sqrt[4]{4}

$$x= \frac{ { 4 }^{ 4 } }{ \sqrt[ 4 ]{ 4 } }$$

Solve for x

$$x=128\sqrt{2}\approx 181.019335984$$

Steps for Solving Linear Equation

Calculate 4 to the power of 4 and get 256.

$$x=\frac{256}{\sqrt[4]{4}}$$

Rewrite \sqrt[4]{4} as \sqrt[4]{2^{2}}. Convert from radical to exponential form and cancel out 2 in the exponent. Convert back to radical form.

$$\sqrt[4]{4}=\sqrt[4]{2^{2}}=2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt{2}$$

Insert the obtained value back in the expression.

$$x=\frac{256}{\sqrt{2}}$$

Rationalize the denominator of \frac{256}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$x=\frac{256\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$x=\frac{256\sqrt{2}}{2}$$

Divide 256\sqrt{2} by 2 to get 128\sqrt{2}.

$$x=128\sqrt{2}$$

Assign x

$$x≔128\sqrt{2}$$