Question

problem 12: select the fully simplified form of this expression. (4y³)(-5y²)(3y) after you pick your answer press go. a. -3y² b. 2y⁵ c. 60y⁶ d. -60y⁵ e. -60y⁶

Explanation:

Step1: Multiply the coefficients

Multiply the numerical coefficients: \(4\times(-5)\times3\).
\(4\times(-5)= -20\), then \(-20\times3 = -60\).

Step2: Multiply the variables

For the variables with exponents, use the rule \(y^a\times y^b\times y^c=y^{a + b + c}\). Here, we have \(y^3\times y^2\times y^1\) (since \(y = y^1\)).
So, \(3 + 2+1=6\), so the variable part is \(y^6\).

Step3: Combine coefficients and variables

Combine the coefficient from Step1 and the variable part from Step2: \(-60y^6\).

Answer:

E. \(-60y^6\)