ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

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

## Step-by-step Solution

Go!
Math mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
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

###  Videos

$\frac{1}{\sqrt[5]{x^{4}}}$
Got another answer? Verify it here!

##  Step-by-step Solution 

Specify 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 integrals of polynomial functions problems step by step online.

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

Learn how to solve integrals of polynomial functions problems step by step online. Simplify the expression ((x^(-1/2))/(x^(3/2)))^2/5. Divide 3 by 2. Divide -1 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}.

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

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind ((x^(-1/2))/(x^(3/2)))^0.4 using the definitionFind the rootsFind break even pointsFind the discriminant

SnapXam A2

Go!
1
2
3
4
5
6
7
8
9
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

### Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account