SOLUTION: Simplify. Write with positive exponents. [(b^3/4)/(a^-1/2)]^8

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Question 817140: Simplify. Write with positive exponents.
[(b^3/4)/(a^-1/2)]^8

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!

To start we can use the rule to raise the fraction to the 8th power:

Next we use the rule to raise the powers of a power:

Simplifying...


Now we will deal with the negative exponent. (Some like to deal with this first. But I prefer to wait until the end. Sometimes the negative exponents disappear on their own while working out the rest of the problem. In those cases it would be been a waste of time to have bothered with them at the start.) Since our expression becomes:

which simplifies to:


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