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Which of the following is equivalent to ...

Which of the following is equivalent to
`(3x^3y^4)(-2x^2y^5)^3` ?

A

`216x^(216)y^(729)`

B

`-24x^9y^(19)`

C

`-24x^(18)y^(60)`

D

`-18x^9y^(19)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \((3x^3y^4)(-2x^2y^5)^3\), we will follow these steps: ### Step 1: Simplify the expression inside the parentheses First, we need to simplify \((-2x^2y^5)^3\). Using the property of exponents \((a^m)^n = a^{m \cdot n}\), we can distribute the exponent 3 to each factor inside the parentheses. \[ (-2x^2y^5)^3 = (-2)^3 \cdot (x^2)^3 \cdot (y^5)^3 \]
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