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Factor the expression $\sqrt{\sqrt{3y^3}}\sqrt[3]{\sqrt{3y^3}}$

Step-by-step Solution

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Final Answer

$1.580522\sqrt[4]{y^{5}}$
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Step-by-step Solution

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Simplify $\sqrt{\sqrt{3y^3}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{2}$ and $n$ equals $\frac{1}{2}$

$\sqrt[4]{3y^3}\sqrt[3]{\sqrt{3y^3}}$

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$\sqrt[4]{3y^3}\sqrt[3]{\sqrt{3y^3}}$

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Learn how to solve factor problems step by step online. Factor the expression (3y^3)^1/2^1/2(3y^3)^1/2^1/3. Simplify \sqrt{\sqrt{3y^3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals \frac{1}{2}. Simplify \sqrt[3]{\sqrt{3y^3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals \frac{1}{3}. When multiplying exponents with same base we can add the exponents. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$1.580522\sqrt[4]{y^{5}}$

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 3y^3^0.5^0.53y^3^0.5^0.3333 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Plotting: $1.580522\sqrt[4]{y^{5}}$

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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

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Main Topic: Factor

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