Question

How do you multiply `\root[ 7] { ( x - 2) ^ { 3} } * \root [ 7] { ( x - 2) ^ { 6} }`?

Answer 1

`(x - 2) ^ (9/7)`

Explanation:

You can rewrite the expression as:

`(x - 2) ^ (3/7) * (x - 2) ^ (6/7)`

According to the law of exponents, if the bases of the two factors are equal, then you can add their exponents.

So, the equation above can be simplified to `(x - 2) ^ (9/7)`.