Step-by-step Solution

Simplify the algebraic expression $\sqrt[5]{\left(\frac{x^{-\frac{1}{2}}}{x^{\frac{3}{2}}}\right)^{2}}$

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Step-by-step explanation

Problem to solve:

$\left(\frac{x^{\left(-1\right)\cdot\frac{1}{2}}}{x^{\frac{3}{2}}}\right)^{\frac{2}{5}}$

Learn how to solve simplification of algebraic expressions problems step by step online.

$\sqrt[5]{\left(\frac{x^{-\frac{1}{2}}}{\sqrt{x^{3}}}\right)^{2}}$

Unlock this full step-by-step solution!

Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the algebraic expression ((x^(-0.5))/(x^(3/2)))^0.4. Divide 3 by 2. Simplify the fraction by x. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.

Final Answer

$\frac{1}{\sqrt[5]{x^{4}}}$
$\left(\frac{x^{\left(-1\right)\cdot\frac{1}{2}}}{x^{\frac{3}{2}}}\right)^{\frac{2}{5}}$

Time to solve it:

~ 0.02 s (SnapXam)