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Simplify the power of a power $\sqrt{x^3}$

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Final answer to the problem

$\sqrt{x^{3}}$
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Step-by-step Solution

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
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1

Simplify $\sqrt{x^3}$ 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 $\frac{1}{2}$

$x^{3\cdot \left(\frac{1}{2}\right)}$
2

Multiply the fraction and term in $3\cdot \left(\frac{1}{2}\right)$

$\sqrt{x^{3}}$

Final answer to the problem

$\sqrt{x^{3}}$

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Function Plot

Plotting: $\sqrt{x^{3}}$

SnapXam A2
Answer Assistant

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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
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

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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