NCERT · Class 7 · Mathematics · Exponents and PowersSimplify: $5^4 \div 5^2$.
Step-by-Step Solution
Using the law of exponents for division, $a^m \div a^n = a^{m-n}$. Thus, $5^4 \div 5^2 = 5^{4-2} = 5^2$. The correct option is $5^2$.
Detailed Options Breakdown
Option : $5^6$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 1: $5^2$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $5^8$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 3: $5^0$
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.