91Ó°ÊÓ

(a)$s^3{s}^{-7}$

(b)$\left(m^3{n}^{-3}\right)\left(m^{-5}{n}^{-1}\right)$

(c)$(-2j^{-5}{k}^8)\left(7j^2{k}^{-3}\right)$

(a)$a^3.a^{-3}$

(b)$\left(u{v}^{-2}\right)\left(u^{-5}{v}^{-3}\right)$

(c)$(-4r^{-2}{s}^{-8})\left(9r^4{s}^3\right)$

(a)$y^5{y}^{-5}$

(b)$\left(p{q}^{-4}\right)\left(p^{-6}{q}^{-3}\right)$

(c)$(-5m^4{n}^6)\left(8m^{-5}{n}^{-3}\right)$

$p^5.p^{-2}.p^{-4}$

In the following exercises, simplify each expression using the Product Property

$x^4â‹\dots x^{−2}â‹\dots x^{−3}$

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

$\begin{array}{l}\left(a\right){\left(m^4\right)}^2\\ \left(b\right){\left({10}^3\right)}^6\\ \left(c\right){\left(x^3\right)}^{−4}\end{array}$

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

$$\begin{gathered} \left(a\right){\left(b^2\right)}^7 \\ \left(b\right){\left(3^8\right)}^2 \\ \left(c\right){\left(k^2\right)}^{-5} \end{gathered}$$

In the following exercises, simplify each expression using the Power Property

$$\begin{gathered} \left(a\right){\left(y^3\right)}^x \\ \left(b\right){\left(5^x\right)}^y \\ \left(c\right){\left(q^6\right)}^{-8} \end{gathered}$$

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

$$\begin{gathered} \left(a\right){\left(x^2\right)}^y \\ \left(b\right){\left(7^a\right)}^b \\ \left(c\right){\left(a^9\right)}^{-10} \end{gathered}$$

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

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