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Solve the product power $\sqrt[4]{81a^{12}b^{24}}$

Step-by-step Solution

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Final answer to the problem

$3a^{3}b^{6}$
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Step-by-step Solution

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1

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

$3\sqrt[4]{a^{12}}\sqrt[4]{b^{24}}$

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

$3\sqrt[4]{a^{12}}\sqrt[4]{b^{24}}$

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Learn how to solve power of a product problems step by step online. Solve the product power (81a^12b^24)^1/4. The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power \sqrt[4]{81}. Simplify \sqrt[4]{a^{12}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 12 and n equals \frac{1}{4}.

Final answer to the problem

$3a^{3}b^{6}$

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Function Plot

Plotting: $3a^{3}b^{6}$

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Answer Assistant

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Got a different answer? Verify it!

Go!
1
2
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

How to improve your answer:

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

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