A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by \( 100 \, \mu \text{A} \), it brings a change of \( 10 \, \text{mA} \) in collector current. If the load resistance is \( 2 \, \text{k}\Omega \) and input resistance is \( 1 \, \text{k}\Omega \), the value of power gain is \( x \times 10^{4} \). The value of \( x \) is __________.
