What is the exponential form of 1600?

Answer 1

The exponential form of 1600 can be expressed as ( 1600 = 16 \times 100 = 16 \times 10^2 ). Since ( 16 ) is ( 2^4 ) and ( 100 ) is ( 10^2 ) or ( (2 \times 5)^2 = 2^2 \times 5^2 ), we can combine these to express 1600 as ( 2^4 \times 10^2 ) or ( 2^4 \times (2 \times 5)^2 ). Thus, the overall prime factorization in exponential form is ( 2^6 \times 5^2 ).