Class 7 Exam > Class 7 Questions > (-8/9)¹5÷(-8/9)x=(8/9)² find the value of x?
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(-8/9)¹5÷(-8/9)x=(8/9)² find the value of x?
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(-8/9)¹5÷(-8/9)x=(8/9)² find the value of x?
Solving the Equation (-8/9)¹5÷(-8/9)x=(8/9)² to Find the Value of x
Step 1: Simplify the Equation
- Using the rule that (a^m)^n = a^(m*n), we can simplify (-8/9)^5 to (-8/9)^(5*1) = (-8/9)^5
- Similarly, simplify (8/9)^2 to (8/9)^(2*1) = (8/9)^2
- The equation now becomes: (-8/9)^5 ÷ (-8/9)x = (8/9)^2
Step 2: Apply the Rule for Dividing Exponents
- When dividing exponents with the same base, we subtract the exponents: a^m ÷ a^n = a^(m-n)
- Using this rule, we rewrite the equation as: (-8/9)^(5-x) = (8/9)^2
Step 3: Equate the Exponents
- Since the bases are the same on both sides of the equation, we can equate the exponents: 5 - x = 2
- Solve for x:
- 5 - x = 2
- -x = 2 - 5
- x = 5 - 2
- x = 3
Step 4: Conclusion
- Therefore, the value of x in the equation (-8/9)^5 ÷ (-8/9)^x = (8/9)^2 is x = 3.
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(-8/9)¹5÷(-8/9)x=(8/9)² find the value of x?
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(-8/9)¹5÷(-8/9)x=(8/9)² find the value of x?
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(-8/9)¹5÷(-8/9)x=(8/9)² find the value of x? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about (-8/9)¹5÷(-8/9)x=(8/9)² find the value of x? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (-8/9)¹5÷(-8/9)x=(8/9)² find the value of x?.
(-8/9)¹5÷(-8/9)x=(8/9)² find the value of x? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about (-8/9)¹5÷(-8/9)x=(8/9)² find the value of x? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (-8/9)¹5÷(-8/9)x=(8/9)² find the value of x?.
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