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Simplify the power of a power $\left(\sqrt[5]{x}\right)^{\left(\left(6+\sqrt[5]{x}\right)^{\left(6+\sqrt[5]{x}\right)}\right)}$

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 Solution

 Videos

Algebra 2 - Simplifying an expression with rational and negative exponents (x^(1/6) y^(1/3))^-18

https://www.youtube.com/watch?v=42cGdWlTRvc

Algebra 2 - Multiplying two exponents with rational powers, then simplifying, 2x^(2/5) . 6x^(1/4)

https://www.youtube.com/watch?v=ITQM50h5BlY

Algebra 1 - Using order of operation on a quotient - Free Math Videos (5^2 4 – 54^2) / 5(4)

https://www.youtube.com/watch?v=Vxn_2d3h3Jg

Algebra 2 - Learn how to divide two exponents with rational powers -(8^(1/3))/(8^(5/6))

https://www.youtube.com/watch?v=v1fZLWMgIpk

Algebra 2 - converting between logarithmic and exponential form 15^3 = 3375, log125 (5) = 1/3

https://www.youtube.com/watch?v=u-vlkoXUrFg

Algebra 2 - Simplifying a radical expression to rational exponents, tenthroot ( 8^5)

https://www.youtube.com/watch?v=ktckOMr6T4s

 Function Plot

Plotting: $x^{\frac{1}{5}\left(6+\sqrt[5]{x}\right)^{\left(6+\sqrt[5]{x}\right)}}$

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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

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:

 Main Topic: Powers of powers

When we have a power inside another power, we can simplify multiplying the exponents: $\left(x^m\right)^n=x^{m\cdot n}$.

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