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Factor the expression $\sqrt[4]{81a^{12}b^{24}}$

Step-by-step Solution

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Final Answer

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

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

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

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

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Learn how to solve factor problems step by step online. Factor the expression (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

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

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

SimplifyFactor by completing the squareFind the integralFind the derivativeFind 81a^12^0.25 using the definitionFind break even pointsFind the discriminant

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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

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Main Topic: Factor

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