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Algebraic terms Calculator

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1

Here, we show you a step-by-step solved example of algebraic terms. This solution was automatically generated by our smart calculator:

$\frac{\frac{1}{4}}{\left(x^3\right)^{\frac{1}{4}}}\cdot x$

Simplify $\sqrt[4]{x^3}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $\frac{1}{4}$

$\frac{\frac{1}{4}}{x^{3\cdot \left(\frac{1}{4}\right)}}x$

Multiply the fraction and term in $3\cdot \left(\frac{1}{4}\right)$

$\frac{\frac{1}{4}}{\sqrt[4]{x^{3}}}x$
2

Simplify $\sqrt[4]{x^3}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $\frac{1}{4}$

$\frac{\frac{1}{4}}{\sqrt[4]{x^{3}}}x$
3

Divide fractions $\frac{\frac{1}{4}}{\sqrt[4]{x^{3}}}$ with Keep, Change, Flip: $\frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}$

$\frac{1}{4\sqrt[4]{x^{3}}}x$

Multiply the fraction by the term

$\frac{1x}{4\sqrt[4]{x^{3}}}$

Any expression multiplied by $1$ is equal to itself

$\frac{x}{4\sqrt[4]{x^{3}}}$
4

Multiply the fraction by the term

$\frac{x}{4\sqrt[4]{x^{3}}}$
5

Simplify the fraction by $x$

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

Final answer to the problem

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

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