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Introduction to Exponents Video Lecture | Mathematics (Maths) Class 8

79 videos|408 docs|31 tests

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Video Timeline
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00:03 Introduction
01:01 What are Exponents?
02:13 Base & Exponent
02:45 Examples

FAQs on Introduction to Exponents Video Lecture - Mathematics (Maths) Class 8

1. What is an exponent?
Ans. An exponent is a mathematical notation that indicates how many times a number, called the base, should be multiplied by itself. It is represented as a superscript to the right of the base number.
2. How do you read an exponent?
Ans. Exponents are read in different ways depending on the context. For example, 3^2 can be read as "3 raised to the power of 2" or "3 to the second power". Both interpretations convey the same meaning.
3. What is the purpose of using exponents in mathematics?
Ans. Exponents are used to represent repeated multiplication. They make it easier to write and calculate large numbers, especially when dealing with scientific or engineering calculations. Exponents also play a crucial role in solving equations and understanding the relationship between different quantities.
4. How do you simplify expressions with exponents?
Ans. To simplify expressions with exponents, you need to apply the rules of exponents. These rules include multiplying exponents with the same base, dividing exponents with the same base, raising a power to another power, and simplifying expressions with negative exponents. By following these rules, you can simplify complex expressions into more manageable forms.
5. Can exponents be negative or fractions?
Ans. Yes, exponents can be negative or fractions. Negative exponents indicate the reciprocal of the base raised to the positive exponent. For example, 2^-3 is equivalent to 1/(2^3) or 1/8. Fractional exponents represent roots of the base. For instance, 4^(1/2) is the square root of 4, which is 2.
79 videos|408 docs|31 tests
Video Timeline
Video Timeline
arrow
00:03 Introduction
01:01 What are Exponents?
02:13 Base & Exponent
02:45 Examples
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