Question

if n is any natural number, then 9^n - 5^n
ends with 6 why
​

Answer 1

9^n ends with 1 and 5^n ends with 5

if we subtract it then we will get the ending digit as 6.

For example

we take 81 and 25

the ending digit are 1 and 5 of 81 and 25

respectively.

Then subtract them

the answer is 56

and its ending digit is 6.

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Answer 2

Answer:

4 or 6

Step-by-step explanation:

Sol:

Given,

n is an natural number.

Consider n be 1,

${9}^{1} - {5}^{1} = 4$

Consider n be 2,

${9}^{2} - {5}^{2} = 81 - 25 \\ \: \: \: \: \: = 56$

If you consider n as any natural number , the answer must be ends with 4 or 6