Topics

More AI tools from SnapXam

Exercise

$\left(\sqrt[n]{a}\right)^2$

Step-by-step Solution

1

Simplify $\left(a^{\frac{1}{n}}\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{n}$ and $n$ equals $2$

$a^{2\left(\frac{1}{n}\right)}$
2

Multiply the fraction by the term $2$

$a^{\frac{2\cdot 1}{n}}$
3

Any expression multiplied by $1$ is equal to itself

$a^{\frac{2}{n}}$

Final answer to the exercise

$a^{\frac{2}{n}}$

Try other ways to solve this exercise

  • Choose an option
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Load more...
Can't find a method? Tell us so we can add it.

Similar Questions 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: $\left(x^m\right)^n=x^{m\cdot n}$.

Related Topics

Symbolic mode
Text mode
Go!
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

Empowering students and teachers through AI

By signing up, you agree to SnapXam's Terms and Privacy Policy.

Already have an account? Login here
Forgot your password?

Empowering students and teachers through AI



Register here if you don't have an account.
Forgot your password?

Your Personal Math Tutor. Powered by AI

Available 24/7, 365 days a year.

Complete step-by-step math solutions. No ads.

Choose between multiple solving methods.

Download unlimited solutions in PDF format.

Premium access on our iOS and Android apps.

Join 1M+ students worldwide in problem solving.

Choose the plan that suits you best:
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account