Question

Which expression is equivalent to the given expression10c⁶d⁻5cdot 2c⁻5d⁴?

A.20c
B.20c²d⁻1
C.20c⁶d⁻1
D.20cd^-1

Answer 1

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.