Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same. For example, \[2^{5} \times 2^{3}=2^{8}\] \[x^{10} \div x^{4}=x^{6}\] We cannot use laws of...
The index is the power raised to any integer or variable to multiply them a number of times equal to the value of the index. Learn its meaning, rules, formula, how to use it with examples.
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You have now learnt the important rules of the Law of Indices and are ready to try out some examples! Go to thenext pagefor the first of many questions and fully worked out solutions for you to practice.
Looking for Surds and Indices? Find out information about Surds and Indices. Maths an expression containing one or more irrational roots of numbers, such as 2ÝA3 + 3ÝA2 + 6 Collins Discovery Encyclopedia, 1st edition ©... Explanation of Surds
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Canyouexplainwhy√1.691.69isnotasurd?√1.69isnotasurdbecauseitisnotirrational.1691.69=100169=10013=10=1.3 4of38 Thisusesthefactthat aa=bb ©BoardworksLtd2005 Manipulatingsurds Whenworkingwithsurdsitisimportanttorememberthefollowingtworules:and aa=bb Also:aaa ...
AlgebraandIndices:Thesamenotationapplieswhenwe’redealingwithalgebraicproblems:ForExample:x×x×x=x3y×y×y×y×y×y×y×y=y8j×j×k×k×k=j2k3TheIndexLaws•Themanipulationofpowers/indices/exponentsisaverycrucialunderlyingskilltohaveinalgebra.•Thereareanumberofrulesthatcanbeusedtomakethejobof...
examples of irrational surds: ©2009 A-level Maths Tutor All Rights Reserved www.a-levelmathstutor.com Symbols 18 Inequalities The rules of inequalities (sometimes called 'inequations') These are the same as for equations i.e that whatever you do to one side of the equation(add/subtract, ...