NCERT · Class 8 · Mathematics · Exponents and PowersEvaluate: $(\frac{1}{2})^{-2} + (\frac{1}{3})^{-2} + (\frac{1}{4})^{-2}$
Step-by-Step Solution
Using the rule $(\frac{a}{b})^{-m} = (\frac{b}{a})^m$, we get: $(\frac{1}{2})^{-2} = 2^2 = 4$, $(\frac{1}{3})^{-2} = 3^2 = 9$, and $(\frac{1}{4})^{-2} = 4^2 = 16$. Adding them together: $4 + 9 + 16 = 29$.
Detailed Options Breakdown
Option : 9
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 1: 29 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 24
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 3: 19
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
💡 Study Guide: This question tests core syllabus concepts from Exponents and Powers. For formulas, key summaries, and mock exam reference guides, read the full Exponents and Powers Revision Notes.