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Simplify the quotient of powers $\frac{\left(x^{-\frac{1}{5}}y^{\frac{3}{2}}\right)^{10}}{\left(y^{\frac{1\cdot -2}{5}}\sqrt[3]{x^{2}}\right)^5}$

Step-by-step Solution

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Final Answer

$\frac{y^{17}}{\sqrt[3]{x^{16}}}$
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Step-by-step Solution

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Multiply $1$ times $-2$

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

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

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

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Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((x^(-1/5)y^(3/2))^10)/((y^((1*-2)/5)x^2/3)^5). Multiply 1 times -2. Divide -2 by 5. Divide -1 by 5. Divide 3 by 2.

Final Answer

$\frac{y^{17}}{\sqrt[3]{x^{16}}}$

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Function Plot

Plotting: $\frac{y^{17}}{\sqrt[3]{x^{16}}}$

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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

How to improve your answer:

Main Topic: Quotient of Powers

The quotient of powers of same base is equivalent to the same base to the power of the difference of exponents: $\frac{a^m}{a^n}=a^{m-n}$.

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