Question

find the value of x if (-19power 11)÷(-19power15)=(1/-19powerx)

Answer 1

$\frac{ (- 19) {}^{11}}{ (- 19) {}^{15} } = \frac{1}{( - 19) {}^{x} } \\ \\ ( - 19) {}^{11 - 15} = ( - 19) {}^{ - x} \\ \\ ( - 19) {}^{ - 4} = ( - 19) {}^{ - x} \\ \\ since \: base \: are \: equal \: so \: power \: are \: also \: equal \\ \\ therefore \\ \\ - x = - 4 \\ \\ x = 4 \\ \\ hope \: it \: helps$