Final answer:
The given expression 15¹⁸ over 15¹³ simplifies to 15¹⁵ by using the quotient rule for exponents, which involves subtracting the lower exponent from the higher exponent when the bases are the same.
Step-by-step explanation:
The simplification of the expression 15¹⁸ over 15¹³ involves applying the rules of exponents. Specifically, we can use the quotient rule for exponents which states that when dividing like bases, we can subtract the exponents. In this case:
- 15¹⁸ / 15¹³ becomes 15^(18-3).
- Subtracting the exponents gives us 15¹⁵, which is the same as 15 to the power of 15.
Therefore, the simplified form of the given expression is option A) 15¹⁵.