Question

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

Answer 1

The correct answer is -135xy.

Step-by-step 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.

Answer 2

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