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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If 13824 = 2a × 3b then find a and b - Mathematics

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Question

If 13824 = 2a × 3b then find a and b

Sum

Solution

If 13824 = 2a × 3b

Using the prime factorization tree


13824 = 29 × 33

Given 13824 = 2a × 3b

Compare we get a = 9 and b = 3

Aliter:

13824 = 29 × 33

Compare with

13824 = 2a × 3b

The value of a = 9 b = 3

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Chapter 2: Numbers and Sequences - Exercise 2.2 [Page 46]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 2 Numbers and Sequences
Exercise 2.2 | Q 4 | Page 46
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