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The value of x y power 2/3 x-ypower3/2 divide square root of x y .square root x-y power 3 and 6?
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The value of x y power 2/3 x-ypower3/2 divide square root of x y .squa...
Solution:


Given:

x y power 2/3 x - y power 3/2 ÷ square root of x y .square root x-y power 3 and 6


Steps to solve the given expression:


  1. First, we need to simplify the numerator and denominator separately.

  2. Then, we can simplify the expression by dividing the numerator by the denominator.



Simplifying the numerator:

x y power 2/3 x - y power 3/2

Let's simplify the expression using the laws of exponents.

x y power 2/3 x - y power 3/2 = x^1/3 y^2/3 x - y^3/2

Using the distributive property, we get:

x^4/3 y^2/3 - x^1/3 y^5/2

Now, we need to find a common denominator for the two terms in the numerator. The common denominator is x^4/3 y^5/3. So, we can rewrite the expression as:

x^4/3 y^2/3 * y^1/3/y^1/3 - x^1/3 y^5/2 * x^1/3/x^1/3

After simplifying, we get:

(x^2 y - x y^3) / (x^4/3 y^5/3)


Simplifying the denominator:

square root of x y .square root x-y power 3 and 6

Let's simplify the expression using the laws of exponents.

square root of x y .square root x-y power 3 and 6 = √(x y) * √(x-y)^3 * √(x-y)^6

Using the laws of exponents, we get:

(xy)^1/2 * (x-y)^9/2


Simplifying the expression:

Now, we can simplify the expression by dividing the numerator by the denominator.

[(x^2 y - x y^3) / (x^4/3 y^5/3)] / [(xy)^1/2 * (x-y)^9/2]

Using the laws of exponents, we can rewrite the expression as:

(x^2 y - x y^3) / (x^2/3 y^11/3 * (x-y)^9/2)

Therefore, the simplified expression is (x^2 y - x y^3) / (x^2/3 y^11/3 * (x-y)^9/2).


Final Answer:

The value of the expression is (
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The value of x y power 2/3 x-ypower3/2 divide square root of x y .square root x-y power 3 and 6?
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The value of x y power 2/3 x-ypower3/2 divide square root of x y .square root x-y power 3 and 6? 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 The value of x y power 2/3 x-ypower3/2 divide square root of x y .square root x-y power 3 and 6? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of x y power 2/3 x-ypower3/2 divide square root of x y .square root x-y power 3 and 6?.
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