Question

May someone please help me with the problem I'm about to post. Thanks

Answer 1

@mathmale

Answer 2

In the first problem you have identical indices of the roots: the indices are both 7.
Thus, write a 3rd radical with the same index (7). Under that radical, write the product of x^2 and x^3. Your work?

Answer 3

okay I'm kind of confused

Answer 4

\[(x^2)(x^3)=?\]

Answer 5

wouldn't it equal \[x^5\]

Answer 6

because when you multiply don't you add the exponents

Answer 7

Yes, that's fine. You were given:\[\sqrt[7]{x^2}\sqrt[7]{x^3}\]Note that both radicals have the same index: 7. Also recall that x^2 (x^3)= x^5.

What do you think the final product is?

Answer 8

Sorry, I'll try again:

Answer 9

\[[\sqrt[7]{x^2}][\sqrt[7]{x^3}]\]

Answer 10

What do you think the final product is?

Answer 11

wouldn't it be \[\sqrt[7]{x ^{5}}\]

Answer 12

Yes, exactly. Problem solved.

Answer 13

Thanks! :)

Answer 14

You could, if you wished, write this result as \[x ^{5/7}\]

Answer 15

Glad to be able to help. Take care!