Chapter 5: Polynomials and Polynomials Functions

Use the Definition of a Negative Exponent In the following exercises, simplify each expression.

$$\begin{gathered} \left(a\right){\left(\frac{5}{8}\right)}^{-2} \\ \left(b\right){\left(-\frac{b}{a}\right)}^{-2} \end{gathered}$$

Use the Definition of a Negative Exponent In the following exercises, simplify each expression.

$$\begin{gathered} \left(a\right){\left(\frac{3}{10}\right)}^{-2} \\ \left(b\right){\left(-\frac{2}{z}\right)}^{-3} \end{gathered}$$

Use the Definition of a Negative Exponent In the following exercises, simplify each expression.

$$\begin{gathered} \left(a\right){\left(\frac{4}{9}\right)}^{-3} \\ \left(b\right){\left(-\frac{u}{v}\right)}^{-5} \end{gathered}$$

Use the definition of a Negative Exponent to simplify$\left(a\right){\left(\frac{7}{2}\right)}^{-3}\left(b\right){\left(-\frac{3}{x}\right)}^{-3}$.

Use the definition of Negative Exponents to simplify (a)${\left(-5\right)}^{-2}$(b)$-5^{-2}$(c)${\left(-\frac{1}{5}\right)}^{-2}$(d)$-{\left(\frac{1}{5}\right)}^{-2}$

Use the definition of Negative Exponents to simplify (a)$-5^{-3}$(b)${\left(-\frac{1}{5}\right)}^{-3}$(c)$-{\left(\frac{1}{5}\right)}^{-3}$(d)${\left(-5\right)}^{-3}$

Use the definition of Negative Exponent to simplify (a)$3·5^{-1}$(b)${\left(3·5\right)}^{-1}.$

Use the definition of Negative Exponent to simplify (a)$3·4^{-2}$(b)${\left(3·4\right)}^{-2}$

(a)$b^4{b}^{-8}$

(b)$\left(w^4{x}^{-5}\right)\left(w^{-2}{x}^{-4}\right)$

(c)$(-6c^{-3}{d}^9)\left(2c^4{d}^{-5}\right)$

In the following exercises, add or subtract the monomials.

$\begin{array}{l}\left(a\right)-12w+18w\\ \left(b\right)7x^{2}y-\left(-12x^{2}y\right)\end{array}$