MP Board · Class 7 · Mathematics · Exponents and PowersSimplify: $(2^3)^2$.
Step-by-Step Solution
Using the power of a power law, $(a^m)^n = a^{m \times n}$. Thus, $(2^3)^2 = 2^{3 \times 2} = 2^6$. The correct option is $2^6$.
Detailed Options Breakdown
Option : $2^5$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 1: $2^6$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $2^9$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 3: $4^3$
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.