You are here:

Advanced Math/Quotient of two powers with the same base


Math Problem 1
Math Problem 1  
Hi, I am having difficulty understanding the answer to the attached image. I corrected the problem during class but did not have enough time to understand how the answer was gotten.

This problem uses fairly simple algebraic laws for exponents. As an example, for arbitrary numbers a, n and m

(a^n)(a^m) = a^(n+m)   <--- add exponents when multiplying

(a^n) / (a^m) = a^(n-m)     <--- subtract exponents when dividing

You can rearrange the expression to line up the a's and b's to make it look more like the above. Also, note that

3/9 = 3/(3^2) = 3^(1-2) = 3^(-1) = 1/3.


Advanced Math

All Answers

Answers by Expert:

Ask Experts


randy patton


college mathematics, applied math, advanced calculus, complex analysis, linear and abstract algebra, probability theory, signal processing, undergraduate physics, physical oceanography


26 years as a professional scientist conducting academic quality research on mostly classified projects involving math/physics modeling and simulation, data analysis and signal processing, instrument development; often ocean related

J. Physical Oceanography, 1984 "A Numerical Model for Low-Frequency Equatorial Dynamics", with M. Cane

M.S. MIT Physical Oceanography, B.S. UC Berkeley Applied Math

Past/Present Clients
Also an Expert in Oceanography

©2016 All rights reserved.