Question

check whether the number 15 power n Where n is natural number and with the digit zero justify the answer

Answer 1

Hey friends!!

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Here is your answer↓

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Here is the condition , for 15^n to end with the digit 0.

→ If the prime factorisation of X^n , then the primes are 2 and 5 only.

A/Q,

=> 15^n= ( 3×5 )^n

=> 15^n = 3^n × 5^n.

Since, 2 is not in the prime factorisation of 15.

So, 15^n is not end with the digit 0.


☺☺☺ hope it is helpful for you ✌✌✌.

Answer 2

!! Hey Mate !!


Your answer is ----

If 15^n ends with digit zero, number must be divisible by 5 and 2 like that
2×5 = 10


This means that 15^n must have prime factor 2 and 5

now, 15^n = (3×5)^n = 3^n × 5^n

there is not 2 in prime factorization of 15^n .

So ,15^n can't end with digit zero


HOPE IT HELP YOU