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Mind Map- Exponents and Powers | Mathematics (Maths) Class 7 (Old NCERT) PDF Download

Mind Map- Exponents and Powers | Mathematics (Maths) Class 7 (Old NCERT)

The document Mind Map- Exponents and Powers | Mathematics (Maths) Class 7 (Old NCERT) is a part of the Class 7 Course Mathematics (Maths) Class 7 (Old NCERT).
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FAQs on Mind Map- Exponents and Powers - Mathematics (Maths) Class 7 (Old NCERT)

1. What are exponents and powers in mathematics?
Ans.Exponents represent the number of times a number, known as the base, is multiplied by itself. Powers are a way to express this multiplication in a compact form. For example, in \(3^4\), 3 is the base and 4 is the exponent, meaning \(3 \times 3 \times 3 \times 3 = 81\).
2. How do you multiply numbers with exponents?
Ans.To multiply numbers with exponents that have the same base, you add the exponents. For example, \(a^m \times a^n = a^{m+n}\). If the bases are different, you cannot combine them directly.
3. What is the difference between a negative exponent and a positive exponent?
Ans.A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, \(a^{-n} = \frac{1}{a^n}\). A positive exponent simply indicates repeated multiplication of the base.
4. Can you explain the concept of zero as an exponent?
Ans.Any non-zero number raised to the power of zero equals one. This means \(a^0 = 1\) for any \(a \neq 0\). This rule helps maintain consistency in the laws of exponents.
5. How do you simplify expressions involving exponents?
Ans.To simplify expressions with exponents, apply the laws of exponents, such as multiplying powers, dividing powers, and raising a power to another power. Combine like terms and perform calculations step-by-step to reach the simplest form of the expression.
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