CA Foundation Exam > CA Foundation Questions > 6√a^4b*x^6 * (a^2/3.x^-1)^-b is?
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6√a^4b*x^6 * (a^2/3.x^-1)^-b is?
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6√a^4b*x^6 * (a^2/3.x^-1)^-b is?
Solution:
We are given the expression 6√a^4b*x^6 * (a^2/3.x^-1)^-b and we need to simplify it. Let's break it down into smaller parts:
Part 1: 6√a^4b*x^6
This part of the expression is a product of two terms:
- 6
- √a^4b*x^6
The first term, 6, is a constant and cannot be simplified any further. The second term, √a^4b*x^6, can be simplified as follows:
- √a^4b*x^6 = (√a^4b) * (x^6)
- √a^4b = (a^4b)^(1/2) = a^2b
- √a^4b*x^6 = a^2b * x^6
Therefore, part 1 simplifies to 6a^2b*x^6.
Part 2: (a^2/3.x^-1)^-b
This part of the expression can be simplified using the following steps:
- (a^2/3.x^-1)^-b = (a^2/3)^-b * (x^-1)^-b
- (a^2/3)^-b = (3/a^2)^b = 3^b/a^(2b)
- (x^-1)^-b = x^b
- (a^2/3.x^-1)^-b = 3^b/a^(2b) * x^b
Therefore, part 2 simplifies to 3^b/a^(2b) * x^b.
Final Answer:
Now that we have simplified both parts, we can combine them to get the final answer:
- 6a^2b*x^6 * 3^b/a^(2b) * x^b = 18a^2bx^(6+b) / a^(2b)
- 18a^2bx^(6+b) / a^(2b) = 18bx^(6+b-a^(2b))
Therefore, the final answer is 18bx^(6+b-a^(2b)).
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6√a^4b*x^6 * (a^2/3.x^-1)^-b is?
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6√a^4b*x^6 * (a^2/3.x^-1)^-b is? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 6√a^4b*x^6 * (a^2/3.x^-1)^-b is? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6√a^4b*x^6 * (a^2/3.x^-1)^-b is?.
6√a^4b*x^6 * (a^2/3.x^-1)^-b is? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 6√a^4b*x^6 * (a^2/3.x^-1)^-b is? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6√a^4b*x^6 * (a^2/3.x^-1)^-b is?.
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