A student was asked to calculate the missing leg of the triangle. The student figured that because it has
the perfect ratios of a right triangle, the missing leg
has a length of 4. Explain why you think the student is
correct or incorrect.

Simplify each expression using the definition, identities, and properties of imaginary numbers. match each term in the list on the left to its equivalent simplified form on the right. 1. (i 3)2(-i 0)3(3i 2)4 -4 2. (i 3i -5)2(i 4i -3)0 1 3. (-i 4i 2)(2i)2(i -1i 5)3(i 0)-3 -i 4. i 3[(i 2i 3i 4)(i 0i 2i 5)]2 81