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Simplify the expression $f\left(x\right)=\frac{\left(x+4\right)^8}{\left(4x-12\right)^{11}}$

Step-by-step Solution

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Solution

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Final answer to the problem

$f\left(x\right)=\frac{\left(x+4\right)^8}{4194304\left(x-3\right)^{11}}$
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Step-by-step Solution

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Learn how to solve algebraic expressions problems step by step online. Simplify the expression f(x)=((x+4)^8)/((4x-12)^11). Factor the polynomial \left(4x-12\right) by it's greatest common factor (GCF): 4. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 4^{11}.

Final answer to the problem

$f\left(x\right)=\frac{\left(x+4\right)^8}{4194304\left(x-3\right)^{11}}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $f\left(x\right)+\frac{-\left(x+4\right)^8}{\left(4x-12\right)^{11}}$

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5
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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
D□x
∫
∫◻
|◻|
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:

Similar Problems Solved

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$f\left(x\right)=\left(4x+1\right)\left(6x+3\right)$

$f\left(x\right)=\frac{1}{\left(1+x\right)^2}$

$f\left(x\right)=x^2-4x$

$f\left(x\right)=x^{\frac{4}{3}}$

Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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