# Step-by-step Solution

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

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### Videos

$\frac{1}{\sqrt[5]{x^{4}}}$
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## Step-by-step Solution

Problem to solve:

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

Choose the solving method

1

Divide $3$ by $2$

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

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

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

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

$\frac{1}{\sqrt[5]{x^{4}}}$
SnapXam A2

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1
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5
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7
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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Tips on how to improve your answer:

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

### Main topic:

Simplification of algebraic expressions

~ 0.03 s