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By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ?
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By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ?
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By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ?
Problem:
By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴?
Solution:
To solve the problem, we will follow these steps:
1. Simplify the given expressions
2. Express both the expressions with the same base
3. Equate the exponents
4. Solve the equation for the unknown number
Step 1: Simplify the given expressions
[(-5/3)³]-³ = [(-125/27)]-³ = (-27/125)
(-3/5)⁴ = 81/625
Step 2: Express both the expressions with the same base
We can express both the expressions with the base of (-5/3) as follows:
(-27/125) = [(-5/3)⁻³]³
(81/625) = [(-5/3)⁻¹]⁴
Step 3: Equate the exponents
Since both the expressions have the same base, we can equate the exponents:
(-3)³ = (-1)⁴ × n
-27 = n
Step 4: Solve the equation for the unknown number
Therefore, we need to multiply [(-5/3)³]-³ by -27 to obtain (-3/5)⁴.
Conclusion:
The number by which [(-5/3)³]-³ should be multiplied to obtain (-3/5)⁴ is -27.
By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴?
Solution:
To solve the problem, we will follow these steps:
1. Simplify the given expressions
2. Express both the expressions with the same base
3. Equate the exponents
4. Solve the equation for the unknown number
Step 1: Simplify the given expressions
[(-5/3)³]-³ = [(-125/27)]-³ = (-27/125)
(-3/5)⁴ = 81/625
Step 2: Express both the expressions with the same base
We can express both the expressions with the base of (-5/3) as follows:
(-27/125) = [(-5/3)⁻³]³
(81/625) = [(-5/3)⁻¹]⁴
Step 3: Equate the exponents
Since both the expressions have the same base, we can equate the exponents:
(-3)³ = (-1)⁴ × n
-27 = n
Step 4: Solve the equation for the unknown number
Therefore, we need to multiply [(-5/3)³]-³ by -27 to obtain (-3/5)⁴.
Conclusion:
The number by which [(-5/3)³]-³ should be multiplied to obtain (-3/5)⁴ is -27.
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By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ?
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By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ?.
By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for By what number should [(-5/3)³]-³ be multiplied to obtain (-3/5)⁴ ?.
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