Final answer:
The expression 10c⁶d⁻⁵ * 2c⁻⁵d⁴ is equivalent to 20c¹d⁻¹.
Step-by-step explanation:
The expression 10c⁶d⁻⁵ * 2c⁻⁵d⁴ can be simplified by multiplying the coefficients and adding the exponents.
Multiply the coefficients: 10 * 2 = 20.
Add the exponents of c: 6 + (-5) = 1.
Add the exponents of d: (-5) + 4 = -1.
Therefore, the equivalent expression is 20c¹d⁻¹, which is answer choice C.