Question

How do you multiply `\root[ 9] { x - 9} \cdot \root [ 9] { ( x - 9) ^ { 7} }`?

Answer 1

`\root[9]{(x-9)^8}`

Explanation:

When you multiply two roots of the same index, the result is a root of that index containing the product of the two arguments. In formula,

`\root[n]{x} \cdot \root[n]{y} = \root[n]{xy}`

So, in your case, we have

`\root[9]{x-9}\cdot \root[9]{(x-9)^7} =\root[9]{(x-9)(x-9)^7} = \root[9]{(x-9)^8}`