Final answer:
The expression x³/4 remains the same and x⁻¹ simplifies to 1/x, making (c) x³/4 and 1/x the correct answer.
Correct option is c
Step-by-step explanation:
The question is asking to simplify two expressions: x³/4 and x⁻¹. The first expression, x³/4, is already in its simplest form. The second expression, x⁻¹, can be simplified using the rule of negative exponents. According to this rule, a negative exponent denotes a division rather than multiplication. Therefore, x⁻¹ simplifies to 1/x.
The correct simplifications are:
- x³/4 remains x³/4
- x⁻¹ simplifies to 1/x
Based on the options provided, (c) x³/4 and 1/x is the correct answer.