CBSE · Class 8 · Mathematics · Exponents and PowersWhat is the value of m if $5^m \div 5^{-3} = 5^5$?
Step-by-Step Solution
Using the laws of exponents: $5^{m - (-3)} = 5^5 \implies 5^{m+3} = 5^5$. Equating the exponents: $m + 3 = 5 \implies m = 2$.
Detailed Options Breakdown
Option : 2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: -2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 2: 8
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 3: -8
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.