91Ó°ÊÓ

The factors in the following exercises involve fractions or decimals. Apply the methods of this section, and find each product. $$ (0.2 x-1.4 y)^{2} $$

Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. $$ \frac{5^{9}}{5^{7}} $$

The factors in the following exercises involve fractions or decimals. Apply the methods of this section, and find each product. $$ (0.3 x-1.6 y)^{2} $$

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

Let \(f(x)=x^{2}+4, g(x)=2 x+3,\) and \(h(x)=x-5 .\) Find each of the following. \((h \circ g)(-2)\)

Apply the quotient rule for exponents, if possible, and write each result using only positive exponents. Assume that all variables represent nonzero real numbers. $$ \frac{x^{12}}{x^{8}} $$

The factors in the following exercises involve fractions or decimals. Apply the methods of this section, and find each product. $$ \left(4 x-\frac{2}{3}\right)\left(4 x+\frac{2}{3}\right) $$

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

Let \(f(x)=x^{2}+4, g(x)=2 x+3,\) and \(h(x)=x-5 .\) Find each of the following. \((f \circ g)(0)\)

The factors in the following exercises involve fractions or decimals. Apply the methods of this section, and find each product. $$ \left(3 t-\frac{5}{4}\right)\left(3 t+\frac{5}{4}\right) $$