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Exponents and Powers — Class 8 CBSE Mathematics MCQs with Solutions
Free Class 8 CBSE Mathematics Exponents and Powers MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
What is 5⁰?
A. 0
B. 1 ✓ Correct
C. 5
D. undefined
Solution: Any non-zero number to the power 0 equals 1.
Q2 — easy
Write 2⁻³ as a fraction.
A. −8
B. 1/6
C. 1/8 ✓ Correct
D. −1/8
Solution: a⁻ⁿ = 1/aⁿ.
Q3 — easy
Simplify: 7⁶ ÷ 7⁴
A. 7² ✓ Correct
B. 7¹⁰
C. 7²⁴
D. 1
Solution: Same base: subtract the exponents.
Q4 — hard
Simplify: (2⁻¹ + 3⁻¹)⁻¹
A. 5/6
B. 6/5 ✓ Correct
C. 1/5
D. 5
Solution: 1/2 + 1/3 = 5/6; its reciprocal is 6/5.
Q5 — hard
Express 1.2 × 10⁻³ in decimal form.
A. 0.12
B. 0.012
C. 0.0012 ✓ Correct
D. 0.00012
Solution: Move the point 3 places left.
Q6 — hard
If (5)ˣ⁻¹ = 125, find x.
A. 2
B. 3
C. 4 ✓ Correct
D. 5
Solution: 5³ = 125, so x − 1 = 3 and x = 4.
Q7 — medium
Simplify: (1/3)⁻²
A. 1/9
B. −9
C. 9 ✓ Correct
D. 6
Solution: Reciprocal then square: 3² = 9.
Q8 — medium
Express 5,60,00,000 in standard form.
A. 5.6 × 10⁶
B. 5.6 × 10⁷ ✓ Correct
C. 56 × 10⁶
D. 5.6 × 10⁸
Solution: 56000000 = 5.6 × 10⁷.
Q9 — medium
Find the value of (−2)⁴.
A. −16
B. −8
C. 8
D. 16 ✓ Correct
Solution: An even power makes the result positive.