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Simplify the power of a power $\left(5^3\right)^4$

Step-by-step Solution

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Solution

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Final answer to the problem

$5^{12}$
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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 5^3^4. Simplify \left(5^3\right)^4 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 4. Multiply 3 times 4.

Final answer to the problem

$5^{12}$

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Function Plot

Plotting: $5^{12}$

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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
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:

Similar Problems Solved

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

$\left(2^3\right)^2$

$\left(5^3\right)^4$

$\sqrt[3]{x^3}$

$\left(2^2\right)^4$

$\left(3^2\right)^3$

$\sqrt[5]{x^3}$

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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