Question

Plz help:)
Find the value of:-\[\LARGE{[(\sqrt[n]{x^2})^{n-2}]^2.}\]

Answer 1

I m getting \[x^2\]

Answer 2

but in my book answer is given '1'.

Answer 3

so I m confused:(

Answer 4

\[{[(\sqrt[n]{x^2})^{n-2}]^2.}\]\[=\left(x^{\frac2n}\right)^{2n-4}\]

Answer 5

sorry the question is \[\LARGE{[(\sqrt[n]{x^2})^{n/2}]^2.}\]

Answer 6

very sorry

Answer 7

oh

Answer 8

u r right @jiteshmeghwal9

Answer 9

\[\huge{(x^2)^{{\frac{1}{n}}*\frac{n}{2}*2}}\]

Answer 10

k! thanx @mathslover @mathslover @mathslover

Answer 11

\[ \left[(\sqrt[n]{x^2})^{n/2}\right]^2\]\[=\left[\left(x^{\frac2n}\right)^n\right]\]\[=x^2\]

Answer 12

i dont think that there is any case where 1 can be there ...

Answer 13

so I m right.
Phew:)
thanx to all.