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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 5: Zero Index (Power of 0)
  • Evaluation Questions

This law states that any number raised to the power of zero (0) equals 1.

\( \scriptsize a^{0} = 1 \)

\( \scriptsize m^{0} = 1 \)

\( \scriptsize 10^{0} = 1 \)

Worked Example 5.5.1:

Simplify the following;

a. \( \scriptsize 4^{0} \)

b. \( \scriptsize\left( 5^6\right)^{0} \)

c. \( \scriptsize 5^2 \: \times \: 5^{-2}\)

d. \( \scriptsize 2^5 \: \div \: 2^{5}\)

e. \( \scriptsize 8a^0 \: \div \: 8^{0}\)

Solution

a. \( \scriptsize 4^{0} = 1\)

 

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Evaluation Question (1)

Answers:

a. \( \scriptsize 3^6 \)

b. \( \scriptsize a^7 \)

c. \( \scriptsize 5^{10} \)

d. \( \left(\frac{3^7}{4^2}\right) \)

e. \( \scriptsize Z^2 \)

f. \( \scriptsize x^7 \)

g. \( \scriptsize c^{11} \)

h. \( \scriptsize 8^7\)

Evaluation Question (2)

Answers:

a. \( \scriptsize 24^{16} \)

b. \( \frac{2}{7} \scriptsize m^9\)

c. \( \scriptsize 56y^{5} \)

d. \( \scriptsize 7n^{\frac{7}{2}}\)

Evaluation Question (3)

Answers:

a. 15

b. \( \scriptsize 4^4\)

c. \( \scriptsize 3^{5} \)

d. \( \scriptsize12^4\)

e. \(\scriptsize 4y^9 \)

f. \( \scriptsize 5d^7 \)

g. \( \frac{1}{2} \scriptsize x^2 \)

h. \( \frac{1}{4} \scriptsize d^3 \)

Evaluation Question (4A)

a. \( \frac{1}{10^5}\)

b. \( \frac{1}{7^3}\)

c. \( \frac{1}{9^2}\)

d. \( \frac{1}{x^2}\)

e. \(\left( \frac{2}{3}\right)^2 \)

f. \( \frac{1}{10^3}\)

Evaluation Question (4B)

Answers:

a. \( \frac{20b}{a^3}\)

b. \( \frac{1}{49x^2}\)

c. \( \frac{5}{a^4}\)

d. \( \frac{1}{2}\)

e. \(\scriptsize 8 \)

f. \( \frac{1}{2g}\)

Evaluation Question (5)

Answers:

a. \( \scriptsize 5^{15}\)

b. \( \scriptsize 8x^{12}\)

c. \( \left(\frac{1}{2}\right)^6 \: \times \: \left(\frac{1}{2}\right)^6\)

d. \( \scriptsize 4y^{2}\)

e. \( \left(\frac{5^3}{x^3}\right)\)

f. \( \scriptsize 125y^{-7}\)

Evaluation Question (6)

Answers:

a. 1

b. 1

c. 1

d. \( \frac{1}{x^3} \)

e. \( \frac{5}{4} = \scriptsize 1\frac{1}{4} \)

f. \( \frac{1}{5^4}\)

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