Rules or Laws of Indices
Video lessons with examples and solutions to help GCSE Maths students
learn about the rules or laws of indices.
What are the Law of Indices?
\[\begin{array}{l}{x^0} = 1\\{x^m} \times {x^n} = {x^{m + n}}\\\frac{{{x^m}}}{{{x^n}}} = {x^{m - n}}\\{\left( {{x^m}} \right)^n} = {x^{mn}}\\{x^{ - m}} = \frac{1}{{{x^m}}}\\{x^{\frac{m}{n}}} = \sqrt[n]{{{x^m}}} = {\left( {\sqrt[n]{x}} \right)^m}\end{array}\]
GCSE Maths - Rules of Indices (1) (Multiplication and Division)
GCSE Maths - Rules of Indices (2) (Raising to a Power and Zero Power)
GCSE Maths - Rules of Indices (3) (Negative and Fractional Powers)
Index Laws - Ultimate revision guide for Further maths GCSE
\[\begin{array}{l}{x^0} = 1\\{x^m} \times {x^n} = {x^{m + n}}\\\frac{{{x^m}}}{{{x^n}}} = {x^{m - n}}\\{\left( {{x^m}} \right)^n} = {x^{mn}}\\{x^{ - m}} = \frac{1}{{{x^m}}}\\{x^{\frac{m}{n}}} = \sqrt[n]{{{x^m}}} = {\left( {\sqrt[n]{x}} \right)^m}\end{array}\]
GCSE Maths - Rules of Indices (1) (Multiplication and Division)
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