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Algebra Baldor
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Simplify the quotient of powers $\frac{\left(a-b\right)^{12}}{\left(a-b\right)^8}$

Step-by-step Solution

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Solution

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Final answer to the problem

$\left(a-b\right)^{4}$
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Step-by-step Solution

1

Simplify the fraction $\frac{\left(a-b\right)^{12}}{\left(a-b\right)^8}$ by $a-b$

$\left(a-b\right)^{4}$

Final answer to the problem

$\left(a-b\right)^{4}$

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Function Plot

Plotting: $\left(a-b\right)^{4}$

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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:

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$\left(18x^6y^2z^5\right)\div\left(6x^3yz^2\right)$

$\frac{21x^2y^3}{7x^2y^2}$

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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