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

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##  Final answer to the problem

$\frac{1}{\left(1+x\right)^2}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Solve by quadratic formula (general formula)
• Find the derivative using the definition
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
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Factor the polynomial $\left(x^2+x^3\right)$ by it's greatest common factor (GCF): $x^2$

$\frac{x^4}{\left(x^2\left(1+x\right)\right)^2}$

Learn how to solve integral calculus problems step by step online.

$\frac{x^4}{\left(x^2\left(1+x\right)\right)^2}$

Learn how to solve integral calculus problems step by step online. Simplify the quotient of powers (x^4)/((x^2+x^3)^2). Factor the polynomial \left(x^2+x^3\right) by it's greatest common factor (GCF): x^2. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(x^2\right)^2 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 2. Multiply 2 times 2.

##  Final answer to the problem

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

##  Explore different ways to solve this problem

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

SnapXam A2

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5
6
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
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

###  Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.