Answer
(a) $5.7\times 10^3{^{\circ}}C$
(b) $1.0\times 10^4{^{\circ}}F$
Work Step by Step
(a) The temperature at the surface of the Sun in Celsius scale:
$T_C=T_K-273.15K$
We plug in the known values to obtain:
$T_C=6000K-273.15K$
$T_C=5.7\times 10^3{^{\circ}}C$
(b) The temperature at the surface of the Sun in Fahrenheit scale:
$T_F=\frac{9}{5}(T_C)+32^{\circ}F$
We plug in the known values to obtain:
$T_F=\frac{9}{5}(5727^{\circ}C)+32^{\circ}F$
$T_F=1.0\times 10^4{^{\circ}}F$