NCERT · Class 8 · Mathematics · Exponents and PowersSimplify and write the answer in exponential form: $(-4)^5 \div (-4)^8$
Step-by-Step Solution
Using the quotient law of exponents $a^m \div a^n = a^{m-n}$, we get: $(-4)^{5-8} = (-4)^{-3}$.
Detailed Options Breakdown
Option : (-4)^3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 1: (-4)^{-3} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: (-4)^{13}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Exponents and Powers.
Option 3: (-4)^{-13}
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.