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Simplify the quotient of powers $\frac{\left(4x^3\right)^2}{\left(2x^2\right)^3}$

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Final Answer

$2$
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Step-by-step Solution

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The power of a product is equal to the product of it's factors raised to the same power

$\frac{4^2\left(x^3\right)^2}{8x^{6}}$

Learn how to solve quotient of powers problems step by step online.

$\frac{4^2\left(x^3\right)^2}{8x^{6}}$

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Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((4x^3)^2)/((2x^2)^3). The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power 2^3. Simplify \left(x^2\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 3.

Final Answer

$2$

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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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind (4x^3^2)/(2x^2^3) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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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
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

How to improve your answer:

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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