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An index can be an integer – a counting number - either positive or negative. It can also be a fraction such as \(\dfrac{1}{2}\), \(\dfrac{3}{4}\), or \(2.5\). Use this resource to learn how the laws of indices apply to fractional indices. Index laws Remember the basic index laws: \(a^{m}\times a^{n}=a^{m+n}\)...
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We know that 3 to the power of 2 is 9 and 3 to the power of 3 is 27. But what is the power of 3 that is equal to something in between, such as 20? It would be 3 to the power of something greater than 2 but...
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Index notation is a powerful mathematical tool for expressing repeated multiplication concisely. Learn how to work with indices, understand the laws governing them, and convert expressions involving powers and roots. This will help you simplify complex expressions and solve problems across a wide range of mathematical and scientific disciplines. Video...
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Indices, surds and logarithms extend our understanding of numbers and their relationships. Use these resources to enhance your comprehension of these powerful mathematical tools. Indices Use this resource to learn how to work with indices, understand the laws governing them, and convert expressions involving powers and roots. Surds Use this...
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The modeling of growth and decay in areas such as finance, epidemiology and science makes use of equations with logarithms and exponentials. The laws for working with logarithms enable us to solve equations that cannot be solved with other algebraic techniques. Use this resource to learn about them. Video tutorial...
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How do you find a square root of any number that isn’t already a square? The square root of \(16\) is \(4\) and the square root of \(25\) is \(5\), but can you find the square root of a number between these, for example \(\sqrt{20}\)? Learning how to identify and...
