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If x:y= 3:4 the value of x²y xy²:x³ y³ is?
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If x:y= 3:4 the value of x²y xy²:x³ y³ is?
Solution:
Given, x:y= 3:4
Let x = 3k and y = 4k (where k is a constant)
Finding the value of x²y:
x²y = (3k)²(4k) = 36k³
Finding the value of xy²:
xy² = (3k)(4k)² = 48k³
Finding the value of x³ y³:
x³ y³ = (3k)³(4k)³ = 1728k⁶
Now, we need to simplify the expressions in such a way that we can find their ratios.
Simplifying x²y and xy²:
x²y/xy² = (36k³)/(48k³) = 3/4
Simplifying x²y and x³ y³:
x²y/x³ y³ = (36k³)/(1728k⁶) = 1/48
Therefore, the value of x²y : xy² : x³ y³ is 3:4:48.
Hence, the solution.
Given, x:y= 3:4
Let x = 3k and y = 4k (where k is a constant)
Finding the value of x²y:
x²y = (3k)²(4k) = 36k³
Finding the value of xy²:
xy² = (3k)(4k)² = 48k³
Finding the value of x³ y³:
x³ y³ = (3k)³(4k)³ = 1728k⁶
Now, we need to simplify the expressions in such a way that we can find their ratios.
Simplifying x²y and xy²:
x²y/xy² = (36k³)/(48k³) = 3/4
Simplifying x²y and x³ y³:
x²y/x³ y³ = (36k³)/(1728k⁶) = 1/48
Therefore, the value of x²y : xy² : x³ y³ is 3:4:48.
Hence, the solution.
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If x:y= 3:4 the value of x²y xy²:x³ y³ is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If x:y= 3:4 the value of x²y xy²:x³ y³ is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x:y= 3:4 the value of x²y xy²:x³ y³ is?.
If x:y= 3:4 the value of x²y xy²:x³ y³ is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If x:y= 3:4 the value of x²y xy²:x³ y³ is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x:y= 3:4 the value of x²y xy²:x³ y³ is?.
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