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Solve the product power $\left(u^4v^3\right)^2$

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 Final answer to the problem

$u^{8}v^{6}$
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
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The power of a product is equal to the product of it's factors raised to the same power

$\left(u^4\right)^2\left(v^3\right)^2$

Learn how to solve power of a product problems step by step online.

$\left(u^4\right)^2\left(v^3\right)^2$

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

 Final answer to the problem

$u^{8}v^{6}$

 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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1
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3
4
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: Power of a product

The power of a product of factors is equal to the product of each factor to the same power: $\left(b\cdot c\right)^n=b^n\cdot c^n$.