Final answer:
To simplify 10⁸ ÷ 10⁻², we subtract the exponent of the divisor from the exponent of the dividend, resulting in 10⁸ ÷ 10² = 10ⁱ⁰. The correct answer is 10ⁱ⁰ (option b).
Step-by-step explanation:
To simplify 10⁸ ÷ 10⁻², you apply the laws of exponents, which tell us that when dividing powers with the same base, we subtract the exponents. In this case, you would subtract (-2) from 8, which can also be understood as adding 2 to 8 because subtracting a negative is the same as adding the positive counterpart.
Therefore, the simplified form of 10⁸ ÷ 10⁻² is 10⁸ ÷ 10², which equals 10¹⁰.
The correct answer is 10¹⁰, which corresponds to option b).