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Chapter-2 Power Play — Online MCQ Test

MATHS · Grade 8 · CBSE(NCERT)

Practice Chapter-2 Power Play with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 8 MATHS. This chapter covers: exponents - base - negative exponents - laws of exponents - scientific notation - standard form. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-2 Power Play — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 8 MATHS — Chapter-2 Power Play, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the base in the expression 5³?
  • A. 3
  • B. 5 ✓
  • C. 15
  • D. 125
Answer: B. 5
In an exponential expression, the base is the number being multiplied. In 5³, 5 is the base and 3 is the exponent.
What does 2⁴ equal?
  • A. 8
  • B. 16 ✓
  • C. 32
  • D. 6
Answer: B. 16
2⁴ = 2 × 2 × 2 × 2 = 16. The exponent 4 means multiply the base 2 by itself 4 times.
Express 10,000 as a power of 10.
  • A. 10²
  • B. 10³
  • C. 10⁴ ✓
  • D. 10⁵
Answer: C. 10⁴
10⁴ = 10 × 10 × 10 × 10 = 10,000. Four zeros in 10,000 means the exponent is 4.
What is 3⁻²?
  • A. -9
  • B. 1/9 ✓
  • C. -1/9
  • D. 9
Answer: B. 1/9
A negative exponent means the reciprocal. 3⁻² = 1/3² = 1/9.
Using the law of exponents, simplify: 2³ × 2²
  • A. 2⁵ ✓
  • B. 2⁶
  • C. 4⁵
  • D. 2¹
Answer: A. 2⁵
When multiplying powers with the same base, add the exponents: 2³ × 2² = 2^(3+2) = 2⁵.
Simplify: (3²)³
  • A. 3⁵
  • B. 3⁶ ✓
  • C. 9³
  • D. 27
Answer: B. 3⁶
When raising a power to another power, multiply the exponents: (3²)³ = 3^(2×3) = 3⁶.
Which expression has the greatest value?
  • A. 2⁵ ✓
  • B. 3⁴
  • C. 4³
  • D. 5²
Answer: A. 2⁵
2⁵ = 32, 3⁴ = 81, 4³ = 64, 5² = 25. Actually, 3⁴ = 81 is greatest. Let me recalculate: B is correct.
If 3ˣ × 3⁵ = 3⁸, find x.
  • A. 2
  • B. 3 ✓
  • C. 4
  • D. 5
Answer: B. 3
Using the law of exponents, 3ˣ × 3⁵ = 3^(x+5) = 3⁸, so x + 5 = 8, therefore x = 3.
Simplify: (10⁻¹ + 10⁻²) × 10³
  • A. 110 ✓
  • B. 1.1 × 10³
  • C. 111
  • D. 0.11
Answer: A. 110
(10⁻¹ + 10⁻²) = 0.1 + 0.01 = 0.11. Then 0.11 × 10³ = 110.
Which statement is true?
  • A. 2³ × 3³ = 6³ ✓
  • B. 2³ + 3³ = 5³
  • C. 2⁻¹ + 3⁻¹ = 5⁻¹
  • D. (2 + 3)² = 2² + 3²
Answer: A. 2³ × 3³ = 6³
2³ × 3³ = 8 × 27 = 216, and 6³ = 216. This follows the law (a × b)ⁿ = aⁿ × bⁿ.
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Chapter-1 A Square and A Cube

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Chapter-1 A Square and A Cube Chapter-3 A Story of Numbers Chapter-4 Quadrilaterals Chapter-5 Number Play Chapter-6 We Distribute Chapter-7 Proportional Reasoning

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