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Laws of Exponents Video Lecture | Mathematics (Maths) Class 7
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FAQs on Laws of Exponents Video Lecture - Mathematics (Maths) Class 7
| 1. What are the basic laws of exponents that I need to know? |  |
| 2. How do I simplify expressions using the laws of exponents? | |
Ans.To simplify expressions using the laws of exponents, identify the like bases and apply the appropriate law. For example, in the expression \( a^m \cdot a^n \), you would add the exponents to get \( a^{m+n} \). Similarly, for \( \frac{a^m}{a^n} \), subtract the exponents to get \( a^{m-n} \). Always be mindful of the base and whether exponents are positive or negative.
| 3. Can you explain the law of negative exponents? | |
Ans.The law of negative exponents states that \( a^{-n} = \frac{1}{a^n} \) for any non-zero base \( a \) and any positive exponent \( n \). This means that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.
| 4. What is the zero exponent rule in exponents? | |
Ans.The zero exponent rule states that any non-zero base raised to the power of zero equals one, i.e., \( a^0 = 1 \) for \( a \neq 0 \). This rule holds true for all non-zero numbers, and it is important to remember that zero raised to any exponent is undefined.
| 5. How can I apply the laws of exponents in solving algebraic equations? | |
Ans.To apply the laws of exponents in algebraic equations, use them to rewrite and simplify expressions. For example, if you have an equation like \( 2^x \cdot 2^3 = 32 \), you can simplify the left side to \( 2^{x+3} = 32 \). Since \( 32 \) can be rewritten as \( 2^5 \), you can set the exponents equal to each other: \( x + 3 = 5 \), leading to \( x = 2 \).
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Video Description: Laws of Exponents for Class 7 2025 is part of Mathematics (Maths) Class 7 preparation.
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