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Simplify the expression. Write Assume the variable represen (c¹²)/(c¹⁵)

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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.

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