Which is equivalent to (2x^2y)(8x^3y^3)?

A

Step-by-step explanation: In order to answer this you need to understand the rules of exponents. Whenever you multiply two terms with the same base or variable you add the powers together. For example, 4x*2x = 8x^2 or x^4*x^2 = x^6. Any term with a negative exponent is equivalent to its reciprocal. For example x^-2 = 1/x^2.

Knowing this we expand this equation by multiplying. (2x^-2y) * (8x^-3y^-3) = 16x^-5y^-2. We now move the variables with negative exponents to the bottom. Giving us 16/(x^5y^2).