Write two different expressions that are equivalent to each of the expressions below. Be sure to show your work clearly and/or explain how you know that each of your expression is equivalent. a. `(4x^{5}y^{3}z^{2})^{4}`

b. `\frac{1}{x}`

c. `(x+5)^{2}-7`

d. `6(2x-7)`

Multiply. write your answer in simplest form. 3/8 x 5/7

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Maurice has 54 fewer comic books than rebecca. they have 130 comic books together .how many comic books are in maurices collection ? how many comic books are in rebeccas collection