91Ó°ÊÓ

In Exercises 65–74, the factors involve fractions or decimals. Apply the methods of this sec- tion, and find each product. $$ \left(k-\frac{5}{7} p\right)^{2} $$

Simplify each expression. Assume that all variables represent nonzero real numbers. $$ \left(\frac{4}{3}\right)^{2} $$

Evaluate \((a) f(-1)\) and \((b) f(2)\) for each function. $$ f(x)=3 x+1 $$

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero real numbers. $$ \left(k^{2}\right)^{-3} k^{4} $$

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero real numbers. $$ -4 r^{-2}\left(r^{4}\right)^{2} $$

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero real numbers. $$ 7 k^{2}(-2 k)\left(4 k^{-5}\right)^{0} $$

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero real numbers. $$ \frac{\left(m^{4}\right)^{0}}{9 m^{-3}} $$

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero real numbers. $$ \left(\frac{7 m^{-2}}{m^{-3}}\right)^{-2} \cdot \frac{m^{3}}{4} $$

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero real numbers. $$ \frac{3^{-1} m^{4}\left(m^{2}\right)^{-1}}{3^{2} m^{-2}} $$

$$\text {Let } f(x)=x^{2}-9, g(x)=2 x, \text { and } h(x)=x-3 . \text { Find each of the following.}$$ $$(f g)(-2)$$