The simplified expressions are 2^-2 and 60^6
<h3>How to simplify the expressions?</h3>
<u>Expression (a)</u>
We have:
2^3 * 2^-5
Apply the product law of indices
2^3 * 2^-5 = 2^(3 - 5)
Evaluate the difference
2^3 * 2^-5 = 2^-2
<u>Expression (b)</u>
We have:
(60^2)^3
Apply the power law of indices
(60^2)^3 = 60^(2 * 3)
Evaluate the product
(60^2)^3 = 60^6
Hence, the simplified expressions are 2^-2 and 60^6
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Answer:
<u>$15 per hour</u>
Step-by-step explanation:
Since he charged $65 for the parts, and the total charge was $110, that's $110-$65 which is $45, the total hours was 3, so $45 divided by 3, and that equals $15.
First isolate the power of 10 on the right side by dividing both sides by 5:
Now you're free to take the logarithm and simplify where you can:
Then solve for 
:
Answer:
16
Step-by-step explanation:
7 friends = 14 hotdogs + bobby (2 hotdogs) = 16 hotdogs
