Solution Bank Rational Exponents & Radicals Target E
Answers to the Practice Problems are below in random order.
\(\begin{align}&x=6.4\ \text{or}\ \frac {32}{5}\ & \ \ \ \ &4\ & \ \ \ \ &\text{No Real Solution}\\\\
&5\ & \ \ \ \ &20\ & \ \ \ \ &\text{No Real Solution}\\\\
&3, 7\ & \ \ \ \ &2x^7y^{10}z^3\sqrt[3]{9x^2z}\ & \ \ \ \ &y=2(x-2)^2-3;\ \text{Vertex}(2,-3);\ \text{Domain}(-\infty,\infty);\ \text{Range}[-3,\infty)\\\\
&16\ & \ \ \ \ &x = -3.5\ \text{or}\ -\frac{7}{2}\ & \ \ \ \ &10\\\\
&6\ & \ \ \ \ & 1\ & \ \ \ \ &\pm 243\\\\
&-4\ & \ \ \ \ &9\ & \ \ \ \ &\pm 8\\\\
&3\ & \ \ \ \ &6x^{\frac{11}{2}}\ & \ \ \ \ &x = 27.5\ \text{or}\ \frac{55}{2}\end{align}\)
Answers to the Practice Problems are below in random order.
\(\begin{align}&x=6.4\ \text{or}\ \frac {32}{5}\ & \ \ \ \ &4\ & \ \ \ \ &\text{No Real Solution}\\\\
&5\ & \ \ \ \ &20\ & \ \ \ \ &\text{No Real Solution}\\\\
&3, 7\ & \ \ \ \ &2x^7y^{10}z^3\sqrt[3]{9x^2z}\ & \ \ \ \ &y=2(x-2)^2-3;\ \text{Vertex}(2,-3);\ \text{Domain}(-\infty,\infty);\ \text{Range}[-3,\infty)\\\\
&16\ & \ \ \ \ &x = -3.5\ \text{or}\ -\frac{7}{2}\ & \ \ \ \ &10\\\\
&6\ & \ \ \ \ & 1\ & \ \ \ \ &\pm 243\\\\
&-4\ & \ \ \ \ &9\ & \ \ \ \ &\pm 8\\\\
&3\ & \ \ \ \ &6x^{\frac{11}{2}}\ & \ \ \ \ &x = 27.5\ \text{or}\ \frac{55}{2}\end{align}\)