
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
July 26th, 2018, 09:46 AM  #1 
Newbie Joined: Jul 2018 From: Scotland Posts: 1 Thanks: 0  Fractional Indices  Help!
I have attempted a question a couple of times and its grinding my gears any help? I attached the question as a picture to avoid confusion. The book says the answer is supposed to be (a^2)

July 26th, 2018, 10:15 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,193 Thanks: 504 Math Focus: Calculus/ODEs 
We are given the expression: $\displaystyle \frac{a^{\Large\frac{1}{2}}}{a^{\Large\frac{3}{2}}}$ A rule for exponents is: $\displaystyle r^{s}=\frac{1}{r^s}$ And so applying that rule, we may write: $\displaystyle \frac{a^{\Large\frac{1}{2}}}{a^{\Large\frac{3}{2}}}=a^{\Large\frac{1}{2}}\cdot a^{\Large\frac{3}{2}}$ Another rule for exponents is: $\displaystyle r^s\cdot r^t=r^{s+t}$ And so we may write: $\displaystyle \frac{a^{\Large\frac{1}{2}}}{a^{\Large\frac{3}{2}}}=a^{\Large\frac{1}{2}}\cdot a^{\Large\frac{3}{2}}=a^{\Large\frac{1}{2}+\frac{3 }{2}}=a^2$ 
July 26th, 2018, 12:58 PM  #3  
Senior Member Joined: May 2016 From: USA Posts: 1,084 Thanks: 446  Quote:
In North American English, what you call indices are called exponents. Are you asking what fractional exponents mean?  
July 26th, 2018, 08:41 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 19,285 Thanks: 1681 
Who mentioned indices? What book is it that contains such questions, but doesn't also explain what methods are applicable? 

Tags 
fractional, indices 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Indices  whiskey tango foxtrot  Algebra  1  January 10th, 2017 06:47 AM 
Help with indices  winston  Algebra  3  August 24th, 2014 09:02 AM 
Indices Help!!  Alexis87  Algebra  11  February 5th, 2012 07:52 AM 
Negative fractional indices  sallyyy  Algebra  2  January 4th, 2011 05:34 AM 
Fractional indices problem  Kiranpreet  Algebra  3  August 6th, 2008 07:15 AM 