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# Simplify the expression with radicals $\left(\frac{\sqrt[3]{12}\sqrt[4]{18}}{\sqrt{6}}\right)^4$

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##  Final answer to the problem

$\frac{\sqrt[3]{\left(2\right)^{8}}\sqrt[3]{\left(3\right)^{4}}}{2}$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Write in simplest form
• Prime Factor Decomposition
• 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
Can't find a method? Tell us so we can add it.
1

The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$\frac{\left(\sqrt[3]{12}\sqrt[4]{18}\right)^4}{36}$

Learn how to solve radical expressions problems step by step online.

$\frac{\left(\sqrt[3]{12}\sqrt[4]{18}\right)^4}{36}$

Learn how to solve radical expressions problems step by step online. Simplify the expression with radicals ((12^(1/3)18^(1/4))/(6^(1/2)))^4. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power. Take \frac{18}{36} out of the fraction. Multiply the fraction and term in \frac{1}{2}\sqrt[3]{\left(12\right)^{4}}.

##  Final answer to the problem

$\frac{\sqrt[3]{\left(2\right)^{8}}\sqrt[3]{\left(3\right)^{4}}}{2}$

$13.736571$

##  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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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: Radical Expressions

Radical expressions are those expressions that include a radical, which is the symbol for calculating a root.