To convert a temperature from Celsius to Kelvin, we use the conversion formula:
[tex]\[ K = \text{°C} + 273.15 \][/tex]
Given the temperature of [tex]\(-10^{\circ} C\)[/tex], we can find the equivalent temperature in Kelvin by following these steps:
1. Start with the temperature in Celsius:
[tex]\[\text{°C} = -10\][/tex]
2. Add 273.15 to this temperature to convert it to Kelvin:
[tex]\[ K = -10 + 273.15 \][/tex]
3. Perform the addition:
[tex]\[ K = 263.15 \][/tex]
Therefore, the temperature [tex]\(-10^{\circ} C\)[/tex] is [tex]\(\boxed{263.15}\)[/tex] kelvins.