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

Algebra ->  Exponential-and-logarithmic-functions -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
8 ^1/2 * 2 ^1/2
-----
Convert 8 to base 2.
------
(2^3)^(1/2) *2^(1/2)
-------
Use the Rule: (a^n)^m = a^(nm)
-------
2^(3/2) *2^(1/2)
------
Use the Rule: a^x*a^y = a^(x+y)
-------------
= 2^(3/2 + 1/2)
----
= 2^1
----
= 2
============
Cheers,
Stan H.
============