Dolly Robinson

2020-11-26

Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.
$\sqrt{{x}^{3}}$

averes8

Expert

Concept used:
If a is real number n is a positive integer and
The above statement can be express as,
$\sqrt[n]{{a}^{m}}={a}^{m\text{/}n}$
Calculation:
The given expression is $\sqrt{{x}^{3}}.$
The property of nth $\sqrt{}$ is,
$\sqrt[n]{{a}^{m}}={a}^{m\text{/}n}$
Substitute 2 for n, 3 for m and x for a in the above equation.
$\sqrt[2]{{x}^{3}}={\left({x}^{1\text{/}2}\right)}^{3}$
$={x}^{3\text{/}2}$
Hence, the solution of the expression

Jeffrey Jordon

Expert

Answer is given below (on video)

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