Important Laws of Indices
  • (ab)m=ambm
  • am×an=am+n
  • \frac{a^m}{a^n} = a^{m-n}
  • (am)n = (an)m = amn
  • x0 = 1
Tips for Solving Problems on Indices
  • Students should clearly understand the laws of indices before solving problems.
  • Most calculations involving indices depend on applying the correct formula and mathematical tricks.
  • Strong mental math skills help solve problems quickly without using a calculator.
  • For practice, try solving problems with pen and paper instead of relying on calculators.
  • Using the appropriate formula makes the solution simpler and faster.
Example
Question:
83 = 2x, Find the value of x.
Solution:
Since 8 = 23,
(23)3 = 2x
 
Using the law of indices,
29 = 2x
Therefore, x = 9
Last modified: Thursday, 7 May 2026, 10:19 AM