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Simplify the power of a power $\sqrt[8]{x^{56}}$

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Solution

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Final answer to the problem

$x^{7}$
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Step-by-step Solution

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Learn how to solve powers of powers problems step by step online. Simplify the power of a power x^56^(1/8). Simplify \sqrt[8]{x^{56}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 56 and n equals \frac{1}{8}. Multiply the fraction and term in 56\cdot \left(\frac{1}{8}\right). Divide 56 by 8.

Final answer to the problem

$x^{7}$

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Function Plot

Plotting: $x^{7}$

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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
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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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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