Question

write 2500 in exponential form using prime factorization​

Answer 1

Answer:

The  exponential form using prime factorization of $2500 = 5^{4} X 2^{2}$

Step-by-step explanation:

The prime factorization of $2500 = 5 X 5 X 5 X 5 X 2 X 2$

We can see that in the prime factorization of 2500, 5 is repeated four times and 2 is repeated two times.

Therefore, the exponential form of 2500 will be given by :-

$2500 = 5^4 X 2^2$