Simplify the expression $f\left(x\right)=\frac{\left(x+4\right)^9}{\left(3x-3\right)^{11}}$

Step-by-step Solution

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Final answer to the problem

$f\left(x\right)=\frac{\left(x+4\right)^9}{177147\left(x-1\right)^{11}}$
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Step-by-step Solution

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1

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

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$f\left(x\right)=\frac{\left(x+4\right)^9}{\left(3\left(x-1\right)\right)^{11}}$

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Unlock the first 3 steps of this solution

Learn how to solve problems step by step online. Simplify the expression f(x)=((x+4)^9)/((3x-3)^11). Factor the polynomial \left(3x-3\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^{11}.

Final answer to the problem

$f\left(x\right)=\frac{\left(x+4\right)^9}{177147\left(x-1\right)^{11}}$

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Function Plot

Plotting: $f\left(x\right)+\frac{-\left(x+4\right)^9}{\left(3x-3\right)^{11}}$

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1
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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

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