NCERT · Class 9 · Mathematics · Number SystemsSimplification of $2^{2/3} \cdot 2^{1/5}$ gives:
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Total Attempts: 3
Accuracy Rate: 33.3%
Step-by-Step Solution
Using laws of exponents $a^m \cdot a^n = a^{m+n}$, we add the powers: $2/3 + 1/5 = (10+3)/15 = 13/15$. Thus, the result is $2^{13/15}$.
Detailed Options Breakdown
Option : 2^{2/15}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 1: 2^{13/15} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 4^{3/8}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
Option 3: 2^{3/8}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Number Systems.
💡 Study Guide: This question tests core syllabus concepts from Number Systems. For formulas, key summaries, and mock exam reference guides, read the full Number Systems Revision Notes.