Question

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

Answer 1

Answer:

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

Step-by-step 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.