What is the answer to (x^4)^2=(2^{12})/(x^5) ?

The answer to (x^4)^2=(2^{12})/(x^5) is x=\sqrt[13]{4096}

Solve for x: (x^4)^2=(2^{12})/(x^5)

The solution is x=\sqrt[13]{4096}

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(x^{4})^{2} = \frac{2 ^{12}}{x ^{5}}

Decimal Notation

x = 1.89615 \dots

Solution steps

(x^{4})^{2} = \frac{2 ^{12}}{x ^{5}}

Simplify

\frac{2 ^{12}}{x ^{5}} : \frac{4096}{x ^{5}}

(x^{4})^{2} = \frac{4096}{x ^{5}}

Multiply both sides by

x^{5}

x^{13} = 4096

Solve

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

\frac{( x + 1 ) ^{2} + 14}{4 x + 5} = n

\frac{1}{x ^{2}} - \frac{5}{x} + 2 = 0

\frac{5}{( 2 x ^{2} )} - \frac{1}{( 6 x ^{2} )} = \frac{7}{12}

0 = \frac{2}{3 x + 2}

\frac{1}{2 \cdot ( x + \frac{1}{5} )} = \frac{9}{5}

What is the answer to (x^4)^2=(2^{12})/(x^5) ?
The answer to (x^4)^2=(2^{12})/(x^5) is x=\sqrt[13]{4096}
Solve for x: (x^4)^2=(2^{12})/(x^5)
The solution is x=\sqrt[13]{4096}