# Step-by-step Solution

## Simplify the quotient of powers $\frac{\left(y^{\frac{3}{2}}\sqrt[5]{x}\right)^{10}}{\left(y^{-\frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}$

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### Videos

$\frac{y^{17}}{\sqrt[3]{x^{4}}}$
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## Step-by-step Solution

Problem to solve:

$\frac{\left(x^{\frac{1}{5}} y^{\frac{3}{2}}\right)^{10}}{\left(y^{\left(-1\right)\cdot\frac{2}{5}} x^{\frac{2}{3}}\right)^5}$

Choose the solving method

1

Divide $3$ by $2$

$\frac{\left(\sqrt[5]{x}\sqrt{y^{3}}\right)^{10}}{\left(y^{-\frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}$

Learn how to solve quotient of powers problems step by step online.

$\frac{\left(\sqrt[5]{x}\sqrt{y^{3}}\right)^{10}}{\left(y^{-\frac{2}{5}}\sqrt[3]{x^{2}}\right)^5}$

Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((x^0.2y^(3/2))^10)/((y^(-0.4)x^0.6666666666666666)^5). Divide 3 by 2. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction \frac{x^{2}y^{15}}{y^{-2}\sqrt[3]{x^{10}}} by y.

$\frac{y^{17}}{\sqrt[3]{x^{4}}}$
SnapXam A2

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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:

$\frac{\left(x^{\frac{1}{5}} y^{\frac{3}{2}}\right)^{10}}{\left(y^{\left(-1\right)\cdot\frac{2}{5}} x^{\frac{2}{3}}\right)^5}$

### Main topic:

Quotient of powers

~ 0.05 s