Exponents — Practice Quiz
ICSE · Class 7 · Mathematics
Try a 4-question quiz on Exponents for ICSE Class 7 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.
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Quick Quiz: Exponents
0/4Tap an answer to check it instantly. No sign-up needed for these 4.
What is the value of 2^5 × 3^2?
Using the product law of exponents, simplify: a^4 × a^6
Simplify using the quotient law: x^9 ÷ x^4
Apply the power law to simplify: (a^3)^4
Sample Questions
Which of the following is the correct exponential form of 1250?
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2 × 5^4
Step 1: Perform prime factorisation of 1250. Step 2: 1250 ÷ 2 = 625. Step 3: 625 = 5 × 5 × 5 × 5 = 5^4. Step 4: So 1250 = 2 × 5^4. Verify: 2 × 625 = 1250. ✓ Common mistake: Stopping factorisation early or grouping factors incorrectly.
Evaluate: (4^2 - 2^3) × 3^2
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72
Step 1: Evaluate 4^2 = 16 and 2^3 = 8 and 3^2 = 9. Step 2: Solve the bracket first: 4^2 - 2^3 = 16 - 8 = 8. Step 3: Multiply the bracket result by 3^2: 8 × 9 = 72. Common mistake: Not following BODMAS — students sometimes multiply before solving the bracket.
If a = 3 and b = 2, what is the value of a^b + b^a?
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17
Step 1: Substitute a = 3, b = 2 into a^b + b^a. Step 2: a^b = 3^2 = 3 × 3 = 9. Step 3: b^a = 2^3 = 2 × 2 × 2 = 8. Step 4: Add both values: 9 + 8 = 17. Common mistake: Confusing a^b with b^a — note that 3^2 ≠ 2^3.
Which is greater: 2^8 or 8^2?
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2^8, because 256 > 64
Step 1: Calculate 2^8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256. Step 2: Calculate 8^2 = 8 × 8 = 64. Step 3: Compare: 256 > 64. Step 4: Therefore 2^8 > 8^2. Lesson: A larger base does not always give a larger result — the exponent also matters greatly.
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