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Simplify the quotient of powers $\frac{\left(x+4\right)^{10}}{\left(4x-4\right)^{12}}$

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Solution

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Final answer to the problem

$\frac{\left(x+4\right)^{10}}{16777216\left(x-1\right)^{12}}$
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Step-by-step Solution

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Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((x+4)^10)/((4x-4)^12). Factor the polynomial \left(4x-4\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^{12}.

Final answer to the problem

$\frac{\left(x+4\right)^{10}}{16777216\left(x-1\right)^{12}}$

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Function Plot

Plotting: $\frac{\left(x+4\right)^{10}}{16777216\left(x-1\right)^{12}}$

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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:

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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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