Chapter 5: Polynomials and Polynomials Functions

In the following exercises, add or subtract the monomials.

$$\begin{gathered} \left(a\right)-3m+9m \\ \left(b\right)15y{z}^2-\left(-8y{z}^2\right) \end{gathered}$$

In the following exercises, simplify each expression using the Product to a Power Property.

$$\begin{gathered} \left(a\right).{\left(-4ab\right)}^2 \\ \left(b\right).{\left(5x\right)}^0 \\ \left(c\right).{\left(4y^3\right)}^{-3} \\ \left(d\right).{\left(-7y^{-3}\right)}^2 \end{gathered}$$

In the following exercises, simplify each expression using the Product to a Power Property.

(a) (-4ab)²

(b) (5x)⁰

(c) (4y³)^-3

(d) (-7y^-3)²

In the following exercises, simplify each expression using the Product to a Power Property.

$$\begin{gathered} \left(a\right).{\left(-5ab\right)}^3 \\ \left(b\right).{\left(-4pq\right)}^0 \\ \left(c\right).{\left(-6x^3\right)}^{-2} \\ \left(d\right).{\left(3y^{-4}\right)}^2 \end{gathered}$$

In the following exercises, simplify each expression using the Product to a Power Property.

$$\begin{gathered} a \\ b \\ c \\ d \end{gathered}$$

In the following exercises, simplify each expression using the Product to a Power Property.

$$\begin{gathered} \left(a\right).{\left(-3xyz\right)}^4 \\ \left(b\right).{\left(-7mn\right)}^0 \\ \left(c\right).{\left(-3x^3\right)}^{-2} \\ \left(d\right).{\left(2y^{-5}\right)}^2 \end{gathered}$$

In the following exercises, simplify each expression using the quotient to a power property.

(a) ${\left(\frac{p}{2}\right)}^5$

(b) ${\left(\frac{x}{y}\right)}^{-6}$

(c) ${\left(\frac{2x{y}^2}{z}\right)}^3$

(d)${\left(\frac{4p^{-3}}{q^2}\right)}^2$

In the following exercises, simplify each expression using the quotient to a power property.

(a) ${\left(\frac{x}{3}\right)}^4$

(b) ${\left(\frac{a}{b}\right)}^{-5}$

(c) ${\left(\frac{2x{y}^2}{z}\right)}^3$

(d)${\left(\frac{4p^{-3}}{q^2}\right)}^2$

In the following exercises, simplify each expression using the quotient to a power property.

(a)${\left(\frac{a}{3b}\right)}^4$

(b) ${\left(\frac{5}{4m}\right)}^{-2}$

(c)${\left(\frac{2x{y}^2}{z}\right)}^3$

(d)${\left(\frac{4p^{-3}}{q^2}\right)}^2$

In the following exercises, simplify each expression using the quotient to a power property.

(a) ${\left(\frac{x}{2y}\right)}^3$

(b) ${\left(\frac{10}{3q}\right)}^{-4}$

(c) ${\left(\frac{2x{y}^2}{z}\right)}^3$

(d)${\left(\frac{4p^{-3}}{q^2}\right)}^2$