Indices — Flashcards
ICSE · Class 9 · Mathematics
24 flashcards for Indices (ICSE Class 9 Mathematics) to test yourself on key terms and facts. Sample: "Solve: 2^7 × 2^4"
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Solve: 2^7 × 2^4
Answer
Step 1: Use the product law for the same base. Step 2: Add the exponents: 7 + 4 = 11. Step 3: Write the answer as 2^11. Answer: 2^11…
Solve: a^3 × a^-6
Answer
Step 1: Use the product law for the same base. Step 2: Add the exponents: 3 + (-6) = -3. Step 3: Write the answer as a^-3. Answer: a^-3…
Solve: a^7 ÷ a^4
Answer
Step 1: Use the quotient law for the same base. Step 2: Subtract the exponents: 7 - 4 = 3. Step 3: Write the answer as a^3. Answer: a^3…
Solve: a^3 ÷ a^6
Answer
Step 1: Use the quotient law for the same base. Step 2: Subtract the exponents: 3 - 6 = -3. Step 3: Write the answer as a^-3. Answer: a^-3…
Solve: (a^3)^4
Answer
Step 1: Use the power law. Step 2: Multiply the exponents: 3 × 4 = 12. Step 3: Write the answer as a^12. Answer: a^12…
Solve: (a^-2)^5
Answer
Step 1: Use the power law. Step 2: Multiply the exponents: -2 × 5 = -10. Step 3: Write the answer as a^-10. Answer: a^-10…
Solve: (2 × 3)^5
Answer
Step 1: Use the power of a product rule. Step 2: Raise each factor to the power 5. Step 3: Write 2^5 × 3^5. Step 4: If needed, evaluate: 2^5 = 32 and 3^5 = 243. Answer: 2^5 × 3^5 = 32 × 243…
Solve: (2/3)^5
Answer
Step 1: Use the power of a quotient rule. Step 2: Raise numerator and denominator separately. Step 3: Write 2^5 / 3^5. Step 4: If needed, evaluate: 2^5 = 32 and 3^5 = 243. Answer: 2^5 / 3^5 = 32/243…
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