91Ó°ÊÓ

Match the expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all. \(\mathbf{I}\) (a) \(\left(\frac{2}{5}\right)^{-2}\) (b) \(\left(-\frac{2}{5}\right)^{-2}\) (c) \(-\left(\frac{2}{5}\right)^{-2}\) (d) \(-\left(-\frac{2}{5}\right)^{-2}\) \(\mathbf{I I}\) A. \(\frac{25}{4}\) B. \(-\frac{25}{4}\) C. \(\frac{4}{25}\) D. \(-\frac{4}{25}\)

Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. $$ \left(\frac{1}{4}\right)^{-3} $$

Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. $$ \left(\frac{1}{5}\right)^{-2} $$

Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. $$ \left(\frac{2}{3}\right)^{-3} $$

Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. $$ \left(\frac{3}{2}\right)^{-3} $$

For each pair of functions, find \((f g)(x)\). $$ f(x)=2 x, \quad g(x)=5 x-1 $$

Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. $$ \left(\frac{4}{5}\right)^{-2} $$

Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. $$ \left(\frac{5}{4}\right)^{-2} $$

For each pair of functions, find \((f g)(x)\). $$ f(x)=x+1, \quad g(x)=2 x-3 $$

Write using only positive exponents and then evaluate. Assume that all variables represent nonzero real numbers. $$ \left(\frac{3 z}{4}\right)^{-3} $$