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Examples: Laws of Exponents Video Lecture - Class 7

FAQs on Examples: Laws of Exponents Video Lecture - Class 7

1. What are the laws of exponents?

Ans. The laws of exponents are a set of rules that govern the manipulation and simplification of exponential expressions. These laws help in performing operations such as multiplication, division, and raising to a power with exponential numbers.

2. What is the product law of exponents?

Ans. The product law of exponents states that when multiplying two exponential numbers with the same base, you can add their exponents. For example, if you have x^a * x^b, where x is the base, the result would be x^(a+b).

3. How does the quotient law of exponents work?

Ans. The quotient law of exponents states that when dividing two exponential numbers with the same base, you can subtract their exponents. For instance, if you have x^a / x^b, where x is the base, the result would be x^(a-b).

4. Explain the power law of exponents.

Ans. The power law of exponents states that when raising an exponential number to another exponent, you can multiply the exponents. In other words, (x^a)^b is equal to x^(a*b). For example, (2^3)^2 is equal to 2^(3*2) which simplifies to 2^6.

5. Can you provide an example of applying the laws of exponents?

Ans. Certainly! Let's consider the expression (3^2 * 3^4) / 3^3. According to the laws of exponents, we can simplify this expression by adding the exponents in the numerator and subtracting the exponent in the denominator. Therefore, it becomes 3^(2+4-3), which further simplifies to 3^3.

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