Simplify the expression $\frac{\left(-\sqrt{y^{3}}\right)^3}{\left(y^{-\frac{1}{3}}\right)^3}$

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Final answer to the problem

$-\sqrt{y^{11}}$
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Step-by-step Solution

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Simplify $\left(y^{-\frac{1}{3}}\right)^3$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $-\frac{1}{3}$ and $n$ equals $3$

$\frac{\left(-\sqrt{y^{3}}\right)^3}{y^{-1}}$

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$\frac{\left(-\sqrt{y^{3}}\right)^3}{y^{-1}}$

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Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression ((-y^(3/2))^3)/(y^(-1/3)^3). Simplify \left(y^{-\frac{1}{3}}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -\frac{1}{3} and n equals 3. Simplify \left(-\sqrt{y^{3}}\right)^3 by taking the minus sign (-) out of the power. Simplify \left(\sqrt{y^{3}}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{3}{2} and n equals 3. Simplify the fraction \frac{-\sqrt{y^{9}}}{y^{-1}} by y.

Final answer to the problem

$-\sqrt{y^{11}}$

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Function Plot

Plotting: $-\sqrt{y^{11}}$

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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: Simplification of algebraic expressions

The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.

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