Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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For what value of natural number n, 4n can end with the digit 6? - Mathematics

Sum

For what value of natural number n, 4n can end with the digit 6?

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Solution

4n = (2 × 2)n = 2n × 2n

2 is a factor of 4n.

So, 4n is always even and ends with 4 and 6.

When n is an even number say 2, 4, 6, 8 then 4n can end with the digit 6.

Example:

42 = 16

43 = 64

4= 256

45 = 1,024

46 = 4,096

47 = 16,384

48 = 65,536

49 = 262,144

  Is there an error in this question or solution?
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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 2 Numbers and Sequences
Exercise 2.2 | Q 1 | Page 46
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