Question

Two of the problems below are correct, and four have error. Find the two correct

Answer 1

We will check all the options.

First option:

`3^5.3^2=3^(5+2)=3^7=3^(2(3.5))=9^(3.5)\\e9^7`

Therefore, the first option is incorrect.

2nd option:

`x^3y^2x^4=x^3x^4y^2=x^(3+4)y^2=x^7y^2`

Therefore, the 2nd option is correct.

3rd Option:

`(z^3)/(z^3)=z^(3-3)=z^0=1\\e0`

Therefore, the 3rd option is incorrect.

4th Option:

`(7^28^3)/(7^38^2)=7^(2-3)*8^(3-2)=7^(-1)*8=(1)/(7)*8=(8)/(7)`

Therefore, the 4th option is correct.

5th Option:

`2^32^4=2^(3+4)=2^7\\e2^(12)`

Therefore, the 5th option is incorrect.

`(6^2)/(6^5)=6^(2-5)=6^(-3)=(1)/(6^3)\\e6^3`

Therefore, the 6th option is incorrect.