Simplify each expression. Assume all variables are nonzero.

$$3^2 \cdot 3^{-5}$$

Simplify each expression. Assume all variables are nonzero.

$$8 a^2 b^5\left(-2 a^3 b^2\right)$$

Sketch a graph for the situation and identify the related parent function. Then explain what the reasonable domain and range for the function is and compare it with the domain and range of the parent function. volume of a cube with side length

$$\ell.$$

Simplify by rationalizing each denominator.

$$-\frac{18}{\sqrt{6}}$$

Simplify each expression. Assume all variables are nonzero.

$$4^0$$

Simplify each expression. Assume all variables are nonzero.

$$\left(\frac{r^2 s}{s^3}\right)^2$$

Sketch a graph for the situation and identify the related parent function. Then explain what the reasonable domain and range for the function is and compare it with the domain and range of the parent function. distance traveled after h hours at a speed of 55 mi/h.

Explain whether the relation from A to B is a function, the relation from B to A is a function, or both are functions.

Express each set of numbers using interval notation and set-builder notation.

$x\leq 2$ or $3 < x <5$

For each equation find the value of $y$ when $x=-3,-2,0,2$, and $3$.

$$y=-\frac{3 x+9}{x^2-1}$$

Simplify each expression. Assume all variables are nonzero.

$$\left(16 u^4 v^{6}\right)^{-2}$$

Simplify each expression.

$$-4 a+2(12-4 a)$$

Use the advertisement for the following exercise. Write an expression to represent each total cost and then simplify it.

$$\begin{array}{|c|} \hline \begin{array}{} \text{ART SUPPLY SALE} \end{array}\\ \hline \begin{array}{c|c} \text{Colored Pencils} & \text{Sketch Books}\\ ^\$8.88 & ^\$9.96 &&\\ \hline \text{Acrylic Paints}& \text{Paint Brushes}\\ ^\$11.99 & ^\$14.99 &&\\ \end{array}\\ \hline \end{array}$$

cost of $3$ sketch books at a $10 \%$ discotut and $5$ acrylic paints at a $25 \%$ discount

Simplify each expression. Assume all variables are nonzero.

$$\frac{-24 x^4 y^{-6}}{14 x^{-3} y^3}$$