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# Solve the product power $\left(7\sqrt[3]{x^{2}}\sqrt{xy^{-121}}\right)^4$

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##  Final answer to the problem

$\frac{2401\sqrt[3]{x^{14}}}{y^{242}}$
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##  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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The power of a product is equal to the product of it's factors raised to the same power

$2401\sqrt[3]{x^{8}}x^{2}y^{-242}$

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

$2401\sqrt[3]{x^{8}}x^{2}y^{-242}$

Learn how to solve power of a product problems step by step online. Solve the product power (7x^2/3(xy^(-121))^1/2)^4. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base we can add the exponents. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying the fraction by \sqrt[3]{x^{14}}.

##  Final answer to the problem

$\frac{2401\sqrt[3]{x^{14}}}{y^{242}}$

##  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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0
a
b
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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: $\left(b\cdot c\right)^n=b^n\cdot c^n$.