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# Solve the product power $\left(\left(\frac{x^a}{x}\right)^{2a}\left(\left(x^{-121}\right)^a\right)^2\right)^{\frac{1}{a}}$

## Step-by-step Solution

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$x^{\left(-244+2a\right)}$
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## Step-by-step Solution

Problem to solve:

$\left(\left(\frac{x^a}{x}\right)^{2a}\left(\left(x^{121\left(-1\right)}\right)^a\right)^2\right)^{\frac{1}{a}}$

Specify the solving method

1

Simplify $\left(\left(x^{-121}\right)^a\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $a$ and $n$ equals $2$

$\left(\left(\frac{x^a}{x}\right)^{2a}\left(x^{-121}\right)^{2a}\right)^{\frac{1}{a}}$

Learn how to solve power of a product problems step by step online.

$\left(\left(\frac{x^a}{x}\right)^{2a}\left(x^{-121}\right)^{2a}\right)^{\frac{1}{a}}$

Learn how to solve power of a product problems step by step online. Solve the product power (((x^a)/x)^(2a)x^(-121)^a^2)^(1/a). Simplify \left(\left(x^{-121}\right)^a\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals a and n equals 2. Simplify \left(x^{-121}\right)^{2a} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -121 and n equals 2a. Multiply -121 times 2. Simplify the fraction \frac{x^a}{x} by x.

$x^{\left(-244+2a\right)}$
SnapXam A2

### beta Got another answer? Verify it!

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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

$\left(\left(\frac{x^a}{x}\right)^{2a}\left(\left(x^{121\left(-1\right)}\right)^a\right)^2\right)^{\frac{1}{a}}$