Question

What value of n makes the statement true? 6xn · 4x2 = 24x6

Answer 1

We check first the numerical coefficients of both sides of the equation if they match if we perform the operation.
                        (6)(4) = 24
Then, the variables. For multiplication with the same variables, the exponents are added. In the given above,
                                 n + 2 = 6
The value of n should be 4. 

Answer 2

Answer:

n = 4

Explanation :

1. You have the following expression given in the problem above:

(6x^n)(4x^2)=24x^6

2. By the exponents properties, when you multiply powers with the same base, you must sum the exponents. In this case the base is , therefore, you must sum the exponents.

3. The result of the sum is 6, therefore,  must be 4:

(6x^4)(4x^2)=24x^6