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Simplify {(⅓)–² –(½)–³}/(¼)–²?
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Simplify {(⅓)–² –(½)–³}/(¼)–²?
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Simplify {(⅓)–² –(½)–³}/(¼)–²?
Solution:
Given expression: {(⅓)–² –(½)–³}/(¼)–²
To simplify the given expression, we need to follow the order of operations - first evaluate the exponents, then perform the division.
Step 1: Evaluate the exponents
1. Simplify (⅓)–²:
(⅓)–² = (1/3)² = 1/9
2. Simplify (½)–³:
(½)–³ = (1/2)³ = 1/8
Step 2: Perform the division
Now, substitute the simplified values back into the expression:
= (1/9 - 1/8) / (1/4)²
= (8/72 - 9/72) / (1/16)
= (-1/72) / (1/16)
= -1/72 * 16
= -16/72
= -2/9
Therefore, the simplified form of the given expression {(⅓)–² –(½)–³}/(¼)–² is -2/9.
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Simplify {(⅓)–² –(½)–³}/(¼)–²?
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Simplify {(⅓)–² –(½)–³}/(¼)–²? 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 Simplify {(⅓)–² –(½)–³}/(¼)–²? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify {(⅓)–² –(½)–³}/(¼)–²?.
Simplify {(⅓)–² –(½)–³}/(¼)–²? 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 Simplify {(⅓)–² –(½)–³}/(¼)–²? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify {(⅓)–² –(½)–³}/(¼)–²?.
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