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Algebra Baldor
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Simplify the quotient of powers $\frac{\left(x+1\right)^{12}}{\left(4x-8\right)^{10}}$

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Solution

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Final answer to the problem

$\frac{\left(x+1\right)^{12}}{1048576\left(x-2\right)^{10}}$
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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+1)^12)/((4x-8)^10). Factor the polynomial \left(4x-8\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^{10}.

Final answer to the problem

$\frac{\left(x+1\right)^{12}}{1048576\left(x-2\right)^{10}}$

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Function Plot

Plotting: $\frac{\left(x+1\right)^{12}}{1048576\left(x-2\right)^{10}}$

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x
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(◻)
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◻/◻
/
÷
◻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

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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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