Final answer:
The expressions 8^0, and 1^12 equal 1 because any non-zero number to the power of zero or one to any power is 1. The expression 1 × 10^(-1.0)^{°}, ignoring the misplaced degree symbol, also simplifies to 1.
Step-by-step explanation:
The expressions 8^0, 1^12, and 1 × 10^(-1.0)^{°} all have the same value because of how exponents work. By definition, any non-zero number raised to the power of zero is 1. Therefore, 8^0 simplifies to 1.
Looking at 1^12, since 1 raised to any power remains 1, this expression also equals 1.
Finally, looking at the expression 1 × 10^(-1.0)^{°}, note that the degree sign (indicating temperature) seems out of place in this context and can be ignored as a potential typo. With that aside, the expression simplifies to 1 × (1/10^1.0), which is 1 × 1/10, and this simplifies to 1/10 × 10, which equals 1.
Therefore, each expression simplifies to the value of 1, showing that despite different representations, they all equate to the same numerical value.