SOLUTION: My homework assignment asks to REWRITE THE EXPRESSION using RADICAL NOTATION. 72x^3/4 (72x raised to the 3/4 power) over 8x^1/4 (8x raised to the 1/4 power) 72x^3/4 -------

Algebra ->  Radicals -> SOLUTION: My homework assignment asks to REWRITE THE EXPRESSION using RADICAL NOTATION. 72x^3/4 (72x raised to the 3/4 power) over 8x^1/4 (8x raised to the 1/4 power) 72x^3/4 -------       Log On


   

Question 30302: My homework assignment asks to REWRITE THE EXPRESSION using RADICAL NOTATION.
72x^3/4 (72x raised to the 3/4 power) over 8x^1/4 (8x raised to the 1/4 power)
72x^3/4
------- Im not sure where to begin. Thank you
8x^1/4

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+%28+72x%5E%283%2F4%29+%29%2F%28+8x%5E%281%2F4%29+%29+

Well, first lets do 72/8 --> 9
+%28+9x%5E%283%2F4%29+%29%2F%28+x%5E%281%2F4%29+%29+

Now for the x terms. We have powers and we are dividing, so by the rules of exponents/powers/indices, the powers will subtract: +%283%2F4%29+-+%281%2F4%29+ is 2%2F4 which is +1%2F2+.

--> +9x%5E%281%2F2%29+ which MEANS +9sqrt%28x%29+. This is the final answer, written as a radical (or surd).

jon.