CA Foundation Exam > CA Foundation Questions > If x=3^1/3 3^-1/3 then 3x^3-9x is?
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If x=3^1/3 3^-1/3 then 3x^3-9x is?
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If x=3^1/3 3^-1/3 then 3x^3-9x is?
Given Information:
x = 3^(1/3) * 3^(-1/3)
Explanation:
To solve the given expression 3x^3 - 9x, we need to substitute the value of x into the expression and simplify it.
First, let's simplify the given expression for x:
x = 3^(1/3) * 3^(-1/3)
Step 1: Simplifying the expression for x
Using the properties of exponents, when we multiply two numbers with the same base, we can add their exponents.
x = 3^(1/3 - 1/3) [Applying the property of exponents]
x = 3^0
x = 1
Step 2: Substitute the value of x into the expression 3x^3 - 9x
3x^3 - 9x = 3(1)^3 - 9(1) [Substituting the value of x]
3x^3 - 9x = 3 - 9
3x^3 - 9x = -6
Conclusion:
The expression 3x^3 - 9x simplifies to -6 when x = 3^(1/3) * 3^(-1/3).
x = 3^(1/3) * 3^(-1/3)
Explanation:
To solve the given expression 3x^3 - 9x, we need to substitute the value of x into the expression and simplify it.
First, let's simplify the given expression for x:
x = 3^(1/3) * 3^(-1/3)
Step 1: Simplifying the expression for x
Using the properties of exponents, when we multiply two numbers with the same base, we can add their exponents.
x = 3^(1/3 - 1/3) [Applying the property of exponents]
x = 3^0
x = 1
Step 2: Substitute the value of x into the expression 3x^3 - 9x
3x^3 - 9x = 3(1)^3 - 9(1) [Substituting the value of x]
3x^3 - 9x = 3 - 9
3x^3 - 9x = -6
Conclusion:
The expression 3x^3 - 9x simplifies to -6 when x = 3^(1/3) * 3^(-1/3).
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If x=3^1/3 3^-1/3 then 3x^3-9x is?
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If x=3^1/3 3^-1/3 then 3x^3-9x 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=3^1/3 3^-1/3 then 3x^3-9x is? 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 is?.
If x=3^1/3 3^-1/3 then 3x^3-9x 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=3^1/3 3^-1/3 then 3x^3-9x is? 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 is?.
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