Mathematics
Exponents
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 overviewटॉपिक का परिचय
Concept revisionअवधारणाओं का पुनरावर्तन
If A={x:x is prime and 10<x<30}, which is its roster form?
The governing concept is converting a set-builder description into roster form. The strict inequalities require prime numbers greater than 10 and less than 30.
What is the value of (2^3)?
Here, 2 is the base and 3 is the exponent. Therefore, \(2^3=2\times2\times2=8\), so 8 is correct.
What is the value of (5^2)?
The exponent 2 means that 5 is multiplied by itself: \(5^2=5\times5=25\). Option 10 is the product of 5 and 2, but it is not the value of \(5^2\).