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Indices or Powers mc-TY-indicespowers-2009-1 A knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples.
This document covers several topics related to indices and logarithms: 1. It reviews the laws of indices, including am × an = am+n and (am)n = amn. Examples are given to illustrate applying these laws to simplify expressions. 2. Logarithms are introduced, defining the logarithm of a number N to base a as the exponent x if N = ax.
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index is indices. In this leaflet we remind you of how this is done, and state a number of rules, or laws, which can be used to simplify expressions involving indices.
Index (indices) in Maths is the power or exponent which is raised to a number or a variable. For example, in number 2 4, 4 is the index of 2. The plural form of index is indices. In algebra, we come across constants and variables. The constant is a value which cannot be changed.
You’ll learn how to multiply indices, divide indices, use brackets and indices, how to raise values to the power of 0 and to the power of 1, as well as fractional and negative indices. Look out for the index laws worksheet and exam questions at the end.
Index notation is a way of representing numbers (constants) and variables (e.g. x and y) that have been multiplied by themselves a number of times. We use index notations, or the plural ‘indices’, to simplify expressions or solve equations involving powers. E.g. Simplify 6 × 6 × 6 × 6. 6 is being multiplied by itself 4 times.
