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
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.