The value of 2⁻³ is 1/8 and 10⁵ equals 1,00,000, so this Grade 8 sheet opens with negative and large powers on two sides of the exponent range. The key also records 5⁶ as a power-law answer and 10⁻⁶ for a later value.
Key Takeaways
2⁻³ = 1/8 (Q1).
10⁵ = 1,00,000 (Q2).
Q5 records 5⁶ among the exponent answers.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The value of 2⁻³ is:
(a) −8(b) 1/8(c) −1/8(d) 8
2.Which of the following is equal to 10⁵?
(a) 100(b) 1,000(c) 10,000(d) 1,00,000
3.The value of (−2)³ × (−2)² is:
(a) 32(b) −32(c) 64(d) −64
4.3⁰ × 4⁰ is equal to:
(a) 0(b) 1(c) 7(d) 12
5.(5³)² = ?
(a) 5⁵(b) 5⁶(c) 5⁹(d) 25⁶
6.1 micron = ? m
(a) 10⁻³(b) 10⁻⁶(c) 10⁻⁹(d) 10⁻¹²
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Simplify: (2⁵ × 2³) ÷ 2⁴.
8.Express 0.000000459 in standard form.
9.Find the value of: (3⁻¹ + 4⁻¹)⁻¹.
10.Simplify: (25)³ ÷ (5)⁵.
11.Write 3.2 × 10⁷ in usual form.
12.Simplify and express with positive exponent: (a⁻³ × a⁵) ÷ a⁻².
13.Simplify: (2/3)⁻² × (2/3)⁵.
14.Compare: 4.5 × 10¹² and 3.2 × 10¹³.
Section C: Word Problems (3 Marks Each)
Apply the concepts to solve real-life problems.
15.The speed of light is approximately 3 × 10⁸ m/s. Express this in km/h using exponents.
16.The mass of Earth is 5.97 × 10²⁴ kg and the mass of the Moon is 7.35 × 10²² kg. How many times heavier is Earth?
17.A grain of sand has a diameter of about 2 × 10⁻⁴ m. Express in mm.
18.The distance between the Sun and Earth is 1.496 × 10⁸ km. Express it in metres using standard form.
19.The size of a bacteria is 5 × 10⁻⁶ m. How many such bacteria placed end to end would cover 1 cm?
20.Simplify: (4 × 10⁵) × (6 × 10³) / (2 × 10⁴) and express in standard form.
Answer Key
1. b) 1/8
2. d) 1,00,000
3. b) −32
4. b) 1
5. b) 5⁶
6. b) 10⁻⁶
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the value of 2⁻³?
1/8, option (b) in this worksheet (Q1).
Which option equals 10⁵?
1,00,000, option (d) in this worksheet (Q2).
What does 10⁻⁶ equal?
Recorded as option (b) in this worksheet (Q6).
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