In this chapter, we will be learning about indices in mathematics. Indices are a way to represent repeated multiplication in a shorter form. We will learn how to rewrite numbers in index form and vice versa. We will also study the laws of indices, which help us simplify and manipulate expressions with indices. These laws will allow us to perform operations like multiplication, division, and raising to a power with numbers in index form. By the end of this chapter, we will be able to confidently work with indices and solve problems involving them.
• Represent repeated multiplication in index form and describe its meaning
• Rewrite a number in index form and vice versa
• Relate the multiplication of numbers in index form with the same base, to repeated multiplications, and hence make generalisation
• Relate the division of numbers in index form with the same base, to repeated multiplications, and hence make generalisation
• Relate the numbers in index form raised to a power, to repeated multiplication, and hence make generalisation
• Verify that a^0 = 1 and a^(-n) = 1/(a^n); a not equal to 0
• Determine and state the relationship between fractional indices and roots and powers
• Perform operations involving laws of indices
• Solve problems involving laws of indices
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