If m and n are two natural numbers and mⁿ = 32, then nᵐⁿ is
A strong grasp of the Number System is vital for excelling in mathematics. This document offers NCERT Solutions for Class 9 Mathematics Chapter 1 Number System with MCQ-based questions from the exercise. It covers essential topics such as rational and irrational numbers terminating and non-terminating decimals and real numbers. These multiple-choice questions are designed to develop logical thinking and enhance problem-solving skills. Aligned with the NCERT syllabus this resource is ideal for exam preparation quick revision and self-assessment. Practicing these MCQs will help students improve accuracy build a solid mathematical foundation and gain confidence. Consistent practice ensures better understanding making problem-solving more effective in both exams and real-life situations.
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We are given that m and n are two natural numbers, and mⁿ = 32
We need to find the value of nᵐⁿ.
Step 1: Find Possible Value of m and n
Since 32 and 2⁵, we look for natural numbers m and n such that: mⁿ = 32
Possible values are:
m = 2, n = 5( since 2⁵ = 32)
Step 2: Compute nᵐⁿ
We substitute n = 5 and mⁿ = 32:
nᵐⁿ = 5³²
Step 3: Identify the correct option
None of the options match 5³² directly.
Please verify if there was a misinterpretation in the problem statement or options. If you meant nᵐ*ⁿ instead of nᵐⁿ , let’s check:
nᵐ*ⁿ = 5²×⁵ = 5¹⁰
This matches option (c) 5¹⁰.
This question related to Chapter 1 Mathematics Class 9th NCERT. From the Chapter 1 Number System. Give answer according to your understanding.
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