What value of n makes the statement true?

6x^n• 4x^2=24x^6

n =

n = 4

Step-by-step explanation:

6x^n• 4x^2=24x^6

Combine like terms

24 x^n * x^2 = 24 x^6

We know that a^b * a^c = a^ (b+c)

24 x^ (n + 2) = 24 x^6

Divide each side by 24

x^ (n + 2) = x^6

The bases are the same so the exponents are the same

n+2 = 6

Subtract 2

n+2-2 = 6-2

n=4