It+is+a+common+mistake+set3

This is a monomial: (xy) When a monomial is raised to a power, the exponent is distributed to each variable: (xy)²= x²y² We do this because raising something to a power is the same as multiplying something by itself. Therefore, we could rewrite (xy)² as (xy)(xy). Using the rule that when you multiply like variables you add exponents, you would get x²y², the same answer you get if you dsitribute the exponent to each variable.

This is a binomial: (x+y) When a binomial is raised to a power, the exponent is **not** distributed to each variable: (x+y)² ≠ x² + y² As is state above, when you raise something to a power you are multiplying it by itself, so we could rewrite (x+y)² as (x+y)(x+y). Now you have to use the foil method to solve this expression. You would get x² + 2xy + y², which is **not** the same as x² + y².

Solve these problems using the rules you just learned:

(5x²y³)³

(7x⁷- 3y⁵)²

Answer Jesse McCarthy

(125x⁶y⁹) (7x⁷-3y⁵)(7x⁷-3y⁵)= 49x¹⁴-42x⁷y⁵+9y¹⁰