Simplify the following expressions. a. (ab^2)^3 b. (3f)(5f)(20f) c. (3r^2)(2r^3)
a. Distribute the exponent outside the parentheses to each variable term. (a^3b^6) b. multiply each number term together and each variable term together. 300f^3 c. multiply the number terms (3 X 2) and the variable terms (r^2 X r^3). 6r^5
A monkey eats bananas from a tree that starts out with 15 bananas on it. On the first day, he eats 5 bananas, and each day after he eats one less banana than the day before. On which day will he eat the last banana?
Day 1: 5 bananas eaten, 10 left Day 2: 4 eaten, 6 left Day 3: 3 eaten, 3 left Day 4: 2 eaten, 1 left Day 5: last banana eaten
Solve for X. 5X + 3(X+2) = -2
First, distribute the 3 to the (x+2) expression. 5X + 3X + 6 = -2 Next, combine like terms. 8X + 6 = -2 8X = -8 X = -1