You are here:

Advanced Math/algebra-exponent

Advertisement

Expert: Steve Holleran - 2/26/2007


Question
HEy can you help me solve this one:
"if 2 raised to 6.5 = a
  3 raised to 7.5 = b
  what is 6 raised to 9.5 equal to in terms of a and b. thanks"


Answer
Hi Leonard,

Okay, lets try this:

6^9.5 = (2 * 3)^9.5 = 2^9.5 * 3^9.5

= [2^(6.5+3)] * [3^(7.5+2)]

= [2^6.5 * 2^3] * [3^7.5 * 3^2]

= [  a   *  8]  * [  b   * 9 ]

=   8a * 9b  = 72ab

I believe this is the result you want.

Hope this helps.

Steve Holleran  

Advanced Math

All Answers

Answers by Expert:

Ask Experts

Volunteer

Steve Holleran

Expertise

I can help with all math questions from basic math to Calculus. Whether it`s consumer questions, or questions from high school or college students, I have probably dealt with it at some time in my career.

Experience

33 years teaching experience in NJ public schools

Education/Credentials
B.S. Mathematics : Wake Forest University 1972 M.S. Mathematics : Monmouth University 1981

©2012 About.com, a part of The New York Times Company. All rights reserved.