Class 8 Maths Exponents and Powers Worksheet — Free Printable PDF
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⭐ MeritMate — Class 8 Maths: Exponents and Powers
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. What is the value of 2 to the power of negative 3?
a) 8
b) negative 8
c) 1/8
d) negative 1/8
Q2. Which of the following is equal to (3 to the power 2) multiplied by (3 to the power 4)?
a) 3 to the power 6
b) 9 to the power 8
c) 3 to the power 8
d) 6 to the power 6
Q3. The standard form of 0.00000782 is:
a) 7.82 multiplied by 10 to the power 5
b) 7.82 multiplied by 10 to the power negative 6
c) 78.2 multiplied by 10 to the power negative 7
d) 7.82 multiplied by 10 to the power negative 5
Q4. What is the value of (5 to the power 0) plus (6 to the power 0) plus (7 to the power 0)?
a) 0
b) 1
c) 3
d) 18
Q5. Which expression is equal to 1/125?
a) 5 to the power 3
b) 5 to the power negative 3
c) negative 5 to the power 3
d) 25 to the power negative 1
Section B: Fill in the Blanks
Q6. The value of (10 to the power 3) multiplied by (10 to the power negative 5) is ________.
Q7. Any non-zero number raised to the power zero is always equal to ________.
Q8. The number 47,500,000,000 written in standard form is ________.
Q9. The value of (2 to the power 3) raised to the power 2 is ________.
Q10. If 3 to the power x equals 1/81, then the value of x is ________.
Section C: Short Answer Questions
Q11. Simplify and find the value:
(2 to the power negative 1 multiplied by 4 to the power negative 1) divided by 2 to the power negative 2
Q12. Express the following in standard form:
Distance from Earth to the Sun is 149,600,000 km. Write this in standard form.
Q13. Simplify the following:
(3 to the power 5 divided by 3 to the power 2) multiplied by 3 to the power negative 2
Q14. Find the value of m in the following equation:
(2 to the power 5) divided by (2 to the power 3) equals 2 to the power m plus 1
Q15. Simplify using laws of exponents:
(4 to the power 3 multiplied by 5 to the power 3) divided by (2 to the power 3 multiplied by 10 to the power 2)
⭐ Answer Key
Class 8 · Maths · Exponents and PowersAnswer Key
Q1. Answer: c) 1/8
Reason: 2 to the power negative 3 equals 1 divided by 2 to the power 3 equals 1/8
Q2. Answer: a) 3 to the power 6
Reason: When bases are equal and numbers are multiplied, powers are added. 2 plus 4 equals 6.
Q3. Answer: b) 7.82 multiplied by 10 to the power negative 6
Reason: The decimal moves 6 places to the right, giving a negative exponent of 6.
Q4. Answer: c) 3
Reason: Any non-zero number raised to power zero equals 1. So 1 plus 1 plus 1 equals 3.
Q5. Answer: b) 5 to the power negative 3
Reason: 5 to the power negative 3 equals 1 divided by 5 to the power 3 equals 1/125.
Q6. Answer: 1/100 or 10 to the power negative 2
Reason: Powers are added, 3 plus negative 5 equals negative 2. So 10 to the power negative 2.
Q7. Answer: 1
Reason: This is the zero exponent law. For any non-zero number a, a to the power 0 equals 1.
Q8. Answer: 4.75 multiplied by 10 to the power 10
Reason: The decimal is placed after 4, moving 10 places, giving power of 10.
Q9. Answer: 64
Reason: Power of a power law gives 2 multiplied by 3 equals 6. So 2 to the power 6 equals 64.
Q10. Answer: x equals negative 4
Reason: 81 equals 3 to the power 4, so 1/81 equals 3 to the power negative 4. Therefore x equals negative 4.
Q11. Answer:
2 to the power negative 1 equals 1/2, and 4 to the power negative 1 equals 1/4.
Numerator: 1/2 multiplied by 1/4 equals 1/8.
Denominator: 2 to the power negative 2 equals 1/4.
Final: (1/8) divided by (1/4) equals 1/8 multiplied by 4 equals 1/2.
Answer is 1/2.
Q12. Answer:
149,600,000 km
Place the decimal after the first digit: 1.496
Count the places moved: 8 places to the left.
Standard form: 1.496 multiplied by 10 to the power 8 km.
Q13. Answer:
Step 1: 3 to the power 5 divided by 3 to the power 2 equals 3 to the power (5 minus 2) equals 3 to the power 3.
Step 2: 3 to the power 3 multiplied by 3 to the power negative 2 equals 3 to the power (3 plus negative 2) equals 3 to the power 1 equals 3.
Answer is
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