Question

Please help:)I’m not good at math and need to get this done ASAP

Answer 1

First and third options are equivalent, second and fourth options are not equivalent.

Explanation:

Remember the relation:

`a^n*a^m = a^(n + m)`

and:

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

We have the expression:

`7^(1/5)*49^(7/5)`

We know that 49 = 7*7

Then we can write the above relation as:

`7^(1/5)*49^(7/5) = 7^(1/5)*(7^2)^(7/5)`

We can use the second relationship from the above ones and write this as:

`7^(1/5)*(7^2)^(7/5) = 7^(1/5)*7^(2*7/5) = 7^(1/5)*7^(14/5)`

Now we can use the first relationship to get:

`7^(1/5)*7^(14/5) = 7^(1/5 + 14/5) = 7^(15/5) = 7^3 = 343`

Then:

The first option is equivalent.

The second option is not equivalent

The third option is equivalent.

The fourth option is not equivalent.