Class 9 Exam > Class 9 Questions > Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5?
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Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5?
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Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5?
Simplifying the Expression
- The given expression is: 3/(216)^2/3 + 2/(256)^3/4 + 2/(243)^1/5
Step 1: Simplify the Exponents
- Rewrite the expression using the properties of exponents:
3/6 + 2/64 + 2/3
Step 2: Simplify the Fractions
- Calculate the values of the fractions:
1/2 + 1/32 + 2/3
Step 3: Find a Common Denominator
- To add the fractions, find a common denominator:
3/6 = 16/32
1/32 remains the same
2/3 = 21/32
Step 4: Add the Fractions
- Add the fractions together:
16/32 + 1/32 + 21/32 = 38/32
Step 5: Reduce the Fraction
- Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
38 ÷ 2 / 32 ÷ 2 = 19/16
Therefore, the simplified form of the given expression is 19/16.
- The given expression is: 3/(216)^2/3 + 2/(256)^3/4 + 2/(243)^1/5
Step 1: Simplify the Exponents
- Rewrite the expression using the properties of exponents:
3/6 + 2/64 + 2/3
Step 2: Simplify the Fractions
- Calculate the values of the fractions:
1/2 + 1/32 + 2/3
Step 3: Find a Common Denominator
- To add the fractions, find a common denominator:
3/6 = 16/32
1/32 remains the same
2/3 = 21/32
Step 4: Add the Fractions
- Add the fractions together:
16/32 + 1/32 + 21/32 = 38/32
Step 5: Reduce the Fraction
- Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
38 ÷ 2 / 32 ÷ 2 = 19/16
Therefore, the simplified form of the given expression is 19/16.
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Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5?
Question Description
Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5?.
Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify 3/(216)^2/3+2/(256)^3/4+2/(243)^1/5?.
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