Simplify the quotient of powers $\frac{\left(x+3\right)^{11}}{\left(3x-6\right)^{10}}$

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Final answer to the problem

$\frac{\left(x+3\right)^{11}}{59049\left(x-2\right)^{10}}$
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Step-by-step Solution

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Factor the polynomial $\left(3x-6\right)$ by it's greatest common factor (GCF): $3$

$\frac{\left(x+3\right)^{11}}{\left(3\left(x-2\right)\right)^{10}}$

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$\frac{\left(x+3\right)^{11}}{\left(3\left(x-2\right)\right)^{10}}$

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Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((x+3)^11)/((3x-6)^10). Factor the polynomial \left(3x-6\right) by it's greatest common factor (GCF): 3. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 3^{10}.

Final answer to the problem

$\frac{\left(x+3\right)^{11}}{59049\left(x-2\right)^{10}}$

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Plotting: $\frac{\left(x+3\right)^{11}}{59049\left(x-2\right)^{10}}$

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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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