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

Help I have a test for algebra 1 tomorrow and I need help on the practice test (please-example-1
User Stot
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1 Answer

19 votes
19 votes

Answer:


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)

User Lorell
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