Question

Find the product.

(n 3)2 · (n 5)4

Answer 1

n^26

Explanation:

Answer 2

For this case we must find the product of the following expression:

`(n ^ 3) ^ 2 * (n ^ 5) ^ 4`

By definition of power properties we have to:

`(a ^ n) ^ m = a ^ {n * m}`

Rewriting the expression we have:

`n ^ 6 * n ^ {20} =`

By definition of multiplication of powers of the same base, we put the same base and add the exponents:

`n^(6 + 20) =\\n^(26)`

Answer:

`n^(26)`