# Math Help - [SOLVED] Simplify using the law of exponents

1. ## [SOLVED] Simplify using the law of exponents

Simplify using the law of exponents,where n is the positive integer.
1)x^n . x^2n
attempt
x^n+2n = x^3n

2)(x^n)^3n
attempt
x^n*3n =x^3n^2

3)(x^3+n)(x^3n-1)
attempt
I dont't know how to do it

Please tell me if my attempt are wrong and if they are please write in step so I can properly understand.

Thank you,

2. Hi

$x^{n}\:x^{2n} = x^{n+2n} = x^{3n}$

$\left(x^{n}\right)^{3n} = x^{n\cdot 3n} = x^{3n^2}$

$x^{3+n}\:x^{3n-1} = x^{(3+n)+(3n-1)} = x^{4n+2}$