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JSS2: MATHEMATICS - 1ST TERM

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  1. Properties of Whole Numbers I | Week 1
    4 Topics
    |
    1 Quiz
  2. Properties of Whole Numbers II | Week 2
    4 Topics
    |
    1 Quiz
  3. Properties of Whole Numbers III | Week 3
    5 Topics
    |
    1 Quiz
  4. Indices | Week 4
    2 Topics
    |
    1 Quiz
  5. Laws of Indices | Week 5
    5 Topics
    |
    1 Quiz
  6. Whole Numbers & Decimal Numbers | Week 6
    4 Topics
    |
    1 Quiz
  7. Standard Form | Week 7
    3 Topics
    |
    1 Quiz
  8. Significant Figures (S.F) | Week 8
    4 Topics
    |
    1 Quiz
  9. Fractions, Ratios, Proportions & Percentages I | Week 9
    6 Topics
    |
    1 Quiz
  10. Fractions, Ratios, Proportions & Percentages II | Week 10
    4 Topics
    |
    1 Quiz
  11. Fractions, Ratios, Proportions & Percentages III | Week 11
    3 Topics
    |
    1 Quiz
  12. Approximation & Estimation | Week 12
    1 Topic
    |
    1 Quiz
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Topic Content:

  • Law 3: Negative Indices (Powers)

This law applies when the power is negative.

\(\scriptsize a^{-n} = \normalsize \frac{1}{a^n}\)

In other words, an index number with a negative power is equal to the inverse of its index number with positive power. 

\(\scriptsize 3^{-3}= \normalsize \frac{1}{3^{3}}\)

\(\scriptsize 2^{-4}= \normalsize \frac{1}{2^{4}}\)

Worked Example 5.3.1:

Simplify the following:

a. \( \scriptsize 2^4 \: \div \: 2^8 \)

b. y2  ÷  y6

c. x5 ÷ x7

Solution

a. \( \scriptsize 2^4 \: \div \: 2^8 \\= \frac{\not{2} \: \times \: \not{2} \: \times \: \not{2}\: \times \: \not{2}}{\not{2} \: \times \: \not{2} \: \times \: \not{2}\: \times \: \not{2}\: \times \: 2\: \times \: 2\: \times \: 2 \: \times \: 2} \\= \frac{1}{2^4}\)

Alternatively, using the law:

 

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