Laws of Indices Video Lecture | Quantitative Aptitude for CA Foundation

146 videos|175 docs|99 tests

FAQs on Laws of Indices Video Lecture - Quantitative Aptitude for CA Foundation

1. What are the laws of indices?
Ans. The laws of indices, also known as the rules of exponents, are mathematical principles that govern the manipulation and simplification of expressions involving powers or exponents. These laws include the product rule, quotient rule, power rule, zero exponent rule, and negative exponent rule.
2. What is the product rule of indices?
Ans. The product rule of indices states that when multiplying two powers with the same base, we can add their exponents. For example, a^m * a^n = a^(m+n). This rule allows us to simplify expressions with multiplication of powers.
3. How does the quotient rule of indices work?
Ans. The quotient rule of indices states that when dividing two powers with the same base, we can subtract their exponents. For instance, a^m / a^n = a^(m-n). This rule enables us to simplify expressions involving division of powers.
4. Explain the power rule of indices.
Ans. The power rule of indices states that when raising a power to another exponent, we can multiply the exponents. In other words, (a^m)^n = a^(m*n). This rule is useful for simplifying expressions with raised powers.
5. Can you provide an example of the zero exponent rule of indices?
Ans. Certainly! The zero exponent rule of indices states that any number (except zero) raised to the power of zero equals 1. For example, 5^0 = 1. This rule holds true regardless of the value of the base, as long as it is not zero.
146 videos|175 docs|99 tests

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