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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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