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# Solve the product power $\sqrt[3]{81y^7}$

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##  Final answer to the problem

$\sqrt[3]{81}\sqrt[3]{y^{7}}$
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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The power of a product is equal to the product of it's factors raised to the same power

$\sqrt[3]{81}\sqrt[3]{y^7}$

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

$\sqrt[3]{81}\sqrt[3]{y^7}$

Learn how to solve power of a product problems step by step online. Solve the product power (81y^7)^(1/3). The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[3]{y^7} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals \frac{1}{3}. Multiply the fraction and term in 7\cdot \left(\frac{1}{3}\right).

##  Final answer to the problem

$\sqrt[3]{81}\sqrt[3]{y^{7}}$

##  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
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7
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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: $\left(b\cdot c\right)^n=b^n\cdot c^n$.