CA Foundation Exam > CA Foundation Questions > If x=3^1/3 3^-1/3 , then 3x^3-9x?
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If x=3^1/3 3^-1/3 , then 3x^3-9x?
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If x=3^1/3 3^-1/3 , then 3x^3-9x?
Given Information:
x = 3^(1/3) * 3^(-1/3)
Explanation:
To solve the expression 3x^3 - 9x, we need to substitute the value of x that we have.
Step 1: Simplify x:
Using the properties of exponents, we can simplify x as follows:
x = 3^(1/3) * 3^(-1/3)
x = 3^(1/3 - 1/3)
x = 3^0
x = 1
So, x = 1.
Step 2: Substitute x into the expression:
Now, we can substitute the value of x into the expression 3x^3 - 9x:
3x^3 - 9x = 3(1)^3 - 9(1)
3x^3 - 9x = 3 - 9
3x^3 - 9x = -6
Therefore, the value of 3x^3 - 9x is -6.
Summary:
- Given x = 3^(1/3) * 3^(-1/3)
- Simplifying x, we get x = 1
- Substituting x into the expression 3x^3 - 9x, we get -6 as the result.
x = 3^(1/3) * 3^(-1/3)
Explanation:
To solve the expression 3x^3 - 9x, we need to substitute the value of x that we have.
Step 1: Simplify x:
Using the properties of exponents, we can simplify x as follows:
x = 3^(1/3) * 3^(-1/3)
x = 3^(1/3 - 1/3)
x = 3^0
x = 1
So, x = 1.
Step 2: Substitute x into the expression:
Now, we can substitute the value of x into the expression 3x^3 - 9x:
3x^3 - 9x = 3(1)^3 - 9(1)
3x^3 - 9x = 3 - 9
3x^3 - 9x = -6
Therefore, the value of 3x^3 - 9x is -6.
Summary:
- Given x = 3^(1/3) * 3^(-1/3)
- Simplifying x, we get x = 1
- Substituting x into the expression 3x^3 - 9x, we get -6 as the result.
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If x=3^1/3 3^-1/3 , then 3x^3-9x?
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If x=3^1/3 3^-1/3 , then 3x^3-9x? 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=3^1/3 3^-1/3 , then 3x^3-9x? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=3^1/3 3^-1/3 , then 3x^3-9x?.
If x=3^1/3 3^-1/3 , then 3x^3-9x? 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=3^1/3 3^-1/3 , then 3x^3-9x? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=3^1/3 3^-1/3 , then 3x^3-9x?.
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