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Class 9MathematicsNumber SystemsExponentsHard
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What is the value of (7^5 \div 7^3)?

Answer and explanation

Correct answer: 49

For division of powers with the same non-zero base, use \(a^m \div a^n=a^{m-n}\). Thus, \(7^5 \div 7^3=7^{5-3}=7^2=49\). Option B incorrectly uses \(7^3\), instead of subtracting the exponents. Exam tip: when dividing powers with the same base, subtract the exponents; do not multiply them.

Related tags

Number SystemsExponentsLaws Of ExponentsPowersDivision Of PowersMathematicsClass 9 Mcq
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10 more MCQs
  1. 1If A={x:x is prime and 10<x<30}, which is its roster form?
  2. 2If 0.2020020002... has no fixed repetition, what type of number is it?
  3. 3If 0.3030030003... has no fixed repetition, what type of number is it?
  4. 4If (x=\sqrt{11}) then what is (x^2+5)?
  5. 5If (x=\sqrt{3}) then what is (x^2+x^2)?
  6. 6If (x=\sqrt{2}), what is (x^2)?
  7. 7What is the value of (2^3)?
  8. 8What is the value of (5^2)?
  9. 9What is the value of (10^2)?
  10. 10What is the value of (3^2)?
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