Algebra  Indices and Powers.
Main page.
Remember that we have the six basic strategies for manipulating indices:
1.  When multiplying terms with the same base, add the indices.
When dividing terms with the same base, subtract the indices. 
d^{ a} × d^{ b} = d^{ a+b}. 
2.  When applying an index to a index, multiply the indices (and think  you have b groups of d^{ a} powers). 
(d^{ a}) ^{b} = d ^{ab} 
3.  When raising any base to an exponent of 1, the result is just the original base.  x ^{ 1} = x 
4.  When raising any base to an exponent of 0 (zero), the result is always 1.  x ^{ 0} = 1 
5.  Negative indices are used when moving terms between the numerator and denominator  or vice versa.  
6.  When reformatting a radical of a number, use a fractional index. 
Introduction and basic questions.  Most relevant to Junior School and Standard Maths courses in the Senior School. 
Basic concepts of indices  Test Yourself 1.  
Basic concepts of indices  Test Yourself 1  Solutions. 

Basic concepts (slightly harder  Test Yourself 2.  
Basic concepts (slightly harder)  Test Yourself 2  Solutions. 

More advanced questions. 
Most relevant to Maths courses at the top of the Junior school and to Advanced Maths courses in the Senior School. 
Advanced concepts of indices and problems  Test Yourself 3. 

Advanced concepts of indices and problems  Test Yourself 3  Solutions. 