The polymerase chain reaction (PCR), an in vitro method, amplifies DNA by doubling the DNA amount with each cycle. The total DNA quantity after \( n \) cycles is represented by the formula \( 2^n \), where \( n \) denotes the cycle count. Consequently, the number of DNA copies escalates exponentially with each PCR cycle, following the progression \( 2^n \).Accordingly, the correct representation is \( 2^n \).