SOLUTION: � Simplify each expression using the rules of exponents and explain the steps you are taking. � Incorporate the following five math vocabulary words into your discussion. Use bold

Question 764300: � Simplify each expression using the rules of exponents and explain the steps you are taking.
� Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
o Principal root
o Product rule
o Quotient rule
o Reciprocal
o nth root
Here is the expression: 8 ^1/2 2 ^1/2 the exponents are the fraction one half.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
8 ^1/2 * 2 ^1/2
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Convert 8 to base 2.
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(2^3)^(1/2) *2^(1/2)
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Use the Rule: (a^n)^m = a^(nm)
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2^(3/2) *2^(1/2)
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Use the Rule: a^x*a^y = a^(x+y)
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= 2^(3/2 + 1/2)
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= 2^1
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= 2
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Cheers,
Stan H.
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