Question

Help I have a test for algebra 1 tomorrow and I need help on the practice test (please explain) ​

Answer 1

`5^{({(x)/(3)}+{(x)/(5)})}=5^(8x)/(15)`

5^(8x/15)

Explanation:

I can't quite read the exponents from the photo, but if they are
`(x)/(3)` and
`(x)/(5)`:

Apply the exponent rule:
`a^b \cdot a^c=a^(b+c)`

`\implies (5^{(x)/(3)})(5^{(x)/(5)})=5^{({(x)/(3)}+{(x)/(5)})`

`(x)/(3)+(x)/(5)=(5x)/(15)+(3x)/(15)=(8x)/(15)`

Therefore,

`5^{({(x)/(3)}+{(x)/(5)})}=5^(8x)/(15)`