91Ó°ÊÓ

Do exponent rules apply to root functions? Explain.

Is \(\frac{3 x}{\sqrt[3]{(2 x+3)^{5}}}\) in radical or exponential form?

In exercises \(5-7,\) write the given term without using exponents. $$ (-2 x+y)^{-1 / 5} $$

In exercises \(6-12,\) expand and simplify the given expressions. $$ 3\left(\theta^{2}+4\right)^{2}(2 \theta) $$

In exercises \(13-17,\) solve the given problem for \(x,\) if possible. If a problem cannot be solved, explain why. $$ 5^{x}=25 $$

In exercises \(13-20\), factor each function completely. $$ g(x)=4 x^{2}+4 x+1 $$

In exercises \(11-17,\) simplify the given term and write your answer without negative exponents. $$ -3\left(x^{2}+4 x+4\right)^{-4}(2 x+4) $$

In exercises \(18-20,\) simplify and write the given term in exponential form. $$ \frac{4 x-1}{\sqrt[3]{(3 x+2)^{2}}} $$

In exercises \(18-20,\) simplify and write the given term in exponential form. $$ \sqrt[4]{\left(\frac{x^{2} y^{5}}{y^{-3}}\right)^{2}} $$