What is the simplified form of (-3^3y^2) (5xy^-1) ?

The correct answer is - 135xy.

Explanation:

(-3³y²) (5xy⁻¹)

We first evaluate - 3³:

-3 (-3) (-3) = - 27

This gives us - 27y² (5xy⁻¹).

Next we multiply the coefficients: - 27 (5) = - 135. This gives us:

-135y²xy⁻¹

Using the commutative property, we can rewrite this to have the powers of y beside each other:

-135xy²y⁻¹

When multiplying powers that have the same base, we add the exponents. This gives us:

-135xy²⁺⁻¹ = - 135xy¹ = - 135xy.

To solve this problem you must apply the proccedure shown below:

1 - You have the following expression given in the problem above: (-3^3y^2) (5xy^-1). The negative exponent of y^-1 indicates that y must be in the denominator with positive exponent 1. Therefore, you have:

(-27y^2) (5x) / y

-135xy^2/y

2 - By applying the exponents properties, you obtain:

-135xy

Therefore, the answer is: - 135xy