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

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Answer 1 · 2017-05-19T02:18:27

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

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 $(x - 2) ^ (9/7)$ .

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