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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.
TOPIC PRACTICE
Up to 3 questions from this page. Select your focus, then start.
Using the laws of exponents, division of like bases gives \(x^m/x^n=x^{m-n}\). Multiplication of like bases then adds the exponents, so \(x^{m-n}\cdot x^p=x^{m-n+p}\). Option C incorrectly adds the exponents in the quotient, while option D uses the wrong sign for \(p\). This simplification is valid for \(x\neq0\). Exam tip: subtract exponents when dividing like bases and add them when multiplying like bases.
Since 8 = 2^3, x = 3, and since 27 = 3^3, y = 3. Therefore, x + y = 3 + 3 = 6, so option C is correct. In exponent questions, first determine each variable separately and then perform the required operation.
Using exponent rules we get (x+y=12) and (x-y=2), solving gives (x=7, y=5). Form equations and solve for quick exam accuracy.
QUIZ COMPLETE
