Indices

• Rules of Indices


  • Multiplication of Indices
  • Division of Indices
  • Indices Raised to a Power
  • Raising a Bracketed Multiplication to a Power
  • Fractional Indices
• Multiplication of Indices


  When expressions with the same base are multiplied, the indices are added
• Division of Indices


  When expressions with the same base are divided, the indices are subtracted
• Indices Raised to a Power

  When an expression is in index form to another index, the indices are multiplied
• Raising a Bracketed Multiplication to a Power


  When a bracketed multiplication is raised to a power, the expression can be rewritten as follows
• Fractional Indices


  In an expression with a fractional index, the denominator signifies the root of the expression and the numerator indicates the power to which the expression is raised
• Negative Indices


  • Rule for Negative Indices
  • Rule 1: Index of 1
  • Rule 2: Index of 0
• Rule for Negative Indices

  An expression with a negative power can be represented as a fraction with a positive index
• Rule 1: Index of 1


  Any number raised to the power of 1 is equal to the number itself
• Rule 2: Index of 0

  Any number raised to the power of 0 is always equal to 1
• Scientific Notation


  A method of expressing very large or very small numbers in a more compact form