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# Solve the product power $\sqrt{x^{15}y^{20}z^{25}}$

## Step-by-step Solution

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###  Videos

$x^{5}\sqrt{y^{20}}\sqrt{z^{25}}$
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##  Step-by-step Solution 

Problem to solve:

$\sqrt{x^{15}y^{20}z^{25}}$

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

$x^{5}\sqrt{y^{20}}\sqrt{z^{25}}$

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

$x^{5}\sqrt{y^{20}}\sqrt{z^{25}}$

Learn how to solve power of a product problems step by step online. Solve the product power (x^15y^20z^25)^1/3. The power of a product is equal to the product of it's factors raised to the same power. . Simplify \sqrt{x^{15}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 15 and n equals \frac{1}{3}. Multiply 15 times \frac{1}{3}.

$x^{5}\sqrt{y^{20}}\sqrt{z^{25}}$

##  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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind break even pointsFind the discriminant

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7
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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

### Main topic:

Power of a product

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