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SubjectsMathematics
घातांक
In Class 9 Mathematics, the topic Exponents builds on Number Systems by showing how repeated multiplication is represented compactly using powers. Students learn to identify the base and exponent, apply the laws of exponents while multiplying and dividing powers, and work with zero and negative integral exponents. They practise simplifying numerical and algebraic expressions, compare powers, and use exponent notation accurately to express very large or very small numbers.
Correct answer: B. 1000
Explanation: First calculate the square: 47^2 = 47 × 47 = 2209. Then, 2209 − 1209 = 1000, so option B is correct. In such questions, evaluate the exponent before performing subtraction.
Correct answer: C. 13
Explanation: Since \(h^3=2197\), the value of \(h\) is the cube root of 2197. As \(13^3=13\times13\times13=2197\), \(h=13\). The cubes of 12 and 14 are 1728 and 2744 respectively, so they are not correct. Exam tip: Recognise perfect cubes by recalling the cubes of nearby integers.
