Question

What is x⁻2y (x³y⁵) in simplest form for all values of x and y where the expression is defined? move the correct answer to each box. each answer may be used more than once. not all answers will be used. x_, y_

Answer 1

To simplify x⁻²y (x³y⁵), one must add the exponents of like bases, resulting in the simplified form xy⁶.

Step-by-step explanation:

To simplify the expression x⁻²y (x³y⁵), we apply the laws of exponents The laws of exponents are rules that describe the properties and behavior of exponents, which are mathematical shorthand for repeated multiplication. Here are the fundamental laws of exponents:. For multiplication, we add the exponents of like bases. The exponents of x are -2 and 3, so we add them to get 1. The exponents of y are 1 and 5, so we add them to get 6. Thus, the expression simplifies to xy⁶.