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Simplifying expressions using the laws of indices - BBC
WebIndices We know that: 5 × 5 = 25 The product 5 × 5 can be written as 5 2. 5 × 5 is known as the expanded form (or factor form) of 25 and 5 2 is known as the index form of 25. Generally when a number is multiplied by itself any number of times, the expression is simplified by using the index notation. Note: 2 is called the base. Web3rd Law of Indices 3-1 At this point, it doesn’t make sense to say “Multiply 3 by itself negative 1 times”. We’ll have to use a different approach! 33 = 27 32 = 9 31 = 3 30 = 1 3-1 = 3-2 = 30 1 3 1 9 Is there a pattern we can see that will help us out? Zero and negative indices a0 = 1 a-b = a1 = a 1 ab Final Laws of Indices What is half of 27? garage hiver colpo
Indices - Law of Indices - An Introduction - Laerd
WebLaws of indices. Algebra uses symbols or letters to represent quantities; for example I = PRT I is used to stand for interest, P for principle, R for rate, and T for time.. A quantity made up of symbols together with operations is called an algebraic expression. We use the laws of indices to simplify expressions involving indices. WebExample 3: Multiplication and Powers Write 2^ {15}\times 8^ {-4} as a power of 2, and hence evaluate the expression. (Non calculator) [3 marks] The first part of the expression is a power of 2, whilst the second part is a power of 8. we know that 8 = 2^3 This means we can rewrite the following, 8^ {-4}=\left (2^3\right)^ {-4} Web8 apr. 2024 · If the index of a number is itself raised into another power, then the two indices have to be multiplied. ( a n) m = ( a n m) Example: ( 2 3) 4 = ( 2 12) Negative Power If a term has a negative index it can be … garage h nationals park