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Solve the equation with radicals $\left(\sqrt[3]{x^{2}}\right)^2\sqrt[3]{x^2}=x^a$

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Solution

Videos

Equations with rational expressions | Mathematics III | High School Math | Khan Academy

https://www.youtube.com/watch?v=McOMtxI_Jzs

Algebra 2 - Learn how solve an equation with a rational power by cubing both sides y^(1/3) -7 = 0

https://www.youtube.com/watch?v=yzxApOS1ZMY

Tutorial - Learn to write the first five terms of a geometric sequence ex 1, a1 = 3 and r = 3

https://www.youtube.com/watch?v=8Izp1SnHdwQ

Algebra 2 - Solve an equation with rational terms (1/r^2) – ((4r–8)/r^2) = 1/r

https://www.youtube.com/watch?v=vCXAv5Ul5OA

Algebra 1 - Solve an equation with a rational term 1/x= 3+ 7/x^2+7x ex 2

https://www.youtube.com/watch?v=OjNDpBeMpxI

Algebra 2 - Solving an equation with a square root, 3 = root(n - 4)

https://www.youtube.com/watch?v=TqtSUu5FsPo

Function Plot

Plotting: $\left(\sqrt[3]{x^{2}}\right)^2\sqrt[3]{x^2}-x^a$

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7
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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
D□x
∫
∫◻
|◻|
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:

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$2\left(7b-1\right)^{\frac{1}{3}}=-4$

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$30x^{\frac{1}{3}}y^{\frac{2}{3}}=384000$

Main Topic: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.

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