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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Final Answer

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

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

Unlock this full step-by-step solution!

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}.

Final Answer

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

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

Time to solve it:

~ 0.03 s