Final answer:
To find the equivalent of the expression (10c⁶d⁻⁵)(2c⁻⁵d⁴), we add the exponents of the variables with the same base and multiply the coefficients. The equivalent expression is 20c¹d⁻¹.
Step-by-step explanation:
The question asks for the equivalent of the expression (10c⁶d⁻⁵)(2c⁻⁵d⁴). To find the equivalent expression, we can use the properties of exponents. When multiplying two exponential expressions with the same base, we add their exponents. So for the variable c, we have c⁶ and c⁻⁵, which gives us c¹ (c to the power of 1). For the variable d, we have d⁻⁵ and d⁴, which gives us d⁻¹ (d to the power of -1). Multiplying the coefficients, we get 10 × 2 = 20. The equivalent expression is therefore 20c¹d⁻¹.