SOLUTION: simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents.
a to the 1/2 power over a^2 (the problem)
Incorporate the
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Question 758037: simplify and compare equivalent expressions written both in radical form and with rational (fractional) exponents.
a to the 1/2 power over a^2 (the problem)
Incorporate the following five math vocabulary words into your discussion.
Principal root
Product rule
Quotient rule
Reciprocal
nth root
I don't need you to use the definitions, I can do that. I just put those on here so you can see what I'm looking for in solving the problem. However I would like to know how to solve this problem. If I am not mistaken you would subtract 1/2-2 which would give you -1 1/2. I find myself lost from there and I'm not even sure if that part is right. Please help. Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a to the 1/2 power over a^2
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a^(1/2)/a^2
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You may subtract exponents in either direction.
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= a^(1/2 -2) = a^(-3/2)
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OR
= 1/[a^(2-(1/2)] = 1/a^(3/2)
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Most instructors prefer the answer with positive exponents.
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cheers,
Stan H.
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