Final answer:
The expression (c¹²)/(c¹µ) simplifies to 1/c³ by subtracting the exponents and expressing the negative exponent as a reciprocal.
Step-by-step explanation:
To simplify the expression (c¹²)/(c¹µ), we can use the laws of exponents. According to the laws of exponents, when we divide powers with the same base, we subtract the exponents. Therefore, the expression simplifies as follows:
- Start with the original expression: (c¹²)/(c¹µ).
- Subtract the smaller exponent from the larger exponent: 12 - 15 = -3.
- Rewrite the expression using the result: c¹² / c¹µ = c⁻³.
- Since the exponent is negative, we can express c⁻³ as 1/c³ for the final simplified form.
The final simplified expression is 1/c³.