### Mathematics Assignment: Indices

Added on - 06 Jun 2020

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Week / ContentSection 1QuestionLearning OutcomePageSection 11.Recap numeracy 1. Introduction, powers and use ofcalculators1 *1,22.Powers, root, logarithms. Use of calculator2 *1,23.Simple & compound interest3,4 *1,24.Linear relationships. Scatter plots5 *1,2,35.Further linear relationships5 *1,2,36.The future value of money. Net present value.6 *1,27.Presentation of data. Histograms.7 *1,2,38.Probability. Exchange rates8*1,29.RevisionNone1,2,3Section 210.Real-Life ExamplesN/A1,311.Online ActivityN/A1,2,312.Reflective LogN/A1,2,3* These sections are also being assessed via online quiz in section 2, Task 32
Section 1You are required to complete this section immediately after completing the class sessionsrelated to each question.Answer all questions and show your workings and/or explain your results.Marks will be awarded for good presentation.You may use your calculator as required.You must show your workings.QUESTION 1[7 marks]Powers and Roots:a)StatethreeLaws of indices and providean exampleof each law(5 marks)b)Simplify(1 mark)c)Evaluate(1 mark)[TYPE YOUR ANSWER HERE]a) Indices is the way of representing the large numbers into short way. Three laws which canrepresent indices in the better way areLaw 1:a^m * a^n = a^(m+n)This is the first law which shows that when multiplying two identical numbers withsimilar power, the final result will be same to the power of both exponents when they areadded together.Example: 2^2 * 2^3 = 2^5Law 2:a^m / a^n = a^(m-n)Second law tells that when we divide two same numbers having different power, thenthe power will be subtracted.Example: 3^4 / 3^2 = 3^2Law 3:(a^m)^n = a^(m*n)The last and third law tells that if any number is having the power and that power is alsohaving the power, then to get the final result we have to multiply both the powers.Example: (4^2)^3 = 4^6b) 10^3 * 10^2= (10)^5 = 100000c) (5^3)^4 = 5^12 = 2441406253
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