AA C&C Unit 3 Test REVIEW (Investigating Radical Functions)

Which expressions are equivalent to $$z^{0.8}$$ ?

Choose ALL that apply!

Which expressions are equivalent to

$$x^{\frac{5}{9}}\cdot x^{-2}$$ ?

Choose ALL that apply!

Simplify. Rewrite as a POSITIVE rational exponential expression with a singular base.

$$\frac{x^{\frac{6}{7}}}{x^{\frac{10}{7}}\cdot x^{\frac{17}{7}}}$$

Which expressions are equivalent to

$$\left(x^{\frac{1}{3}}\right)^5\cdot\sqrt[4]{x^3}$$ ?

Choose ALL that apply!

Which expressions are equivalent to

$$\frac{x^6}{\sqrt[]{x}}$$ ?

Choose ALL that apply!

Solve the equation.

$$\sqrt[3]{x-9}=\ 3$$

*Type the value ONLY

x = ?

List the steps to solve the radical equation:

$$\sqrt[]{5x+94}+6=14$$

Step 1: (a)  

Step 2: (b)  

Step 3: (c)  

Step 4: (d)  

Solution: x = ​ (e)  

Given the radical equation $$\sqrt[]{x+30}=\ x$$ , which is an extraneous solution?

List the steps to solve the radical equation:

$$\sqrt[]{36-6x}=x-6$$

Step 1: (a)  

Step 2: ​ (b)  

Step 3: (c)  

Step 4: ​ (d)  

Solution: x = ​ (e)  

Fill in the steps to solve the following radical equation:

$$\sqrt[]{49-8x\ }+5\ =\ x$$

Step 1: ​ (a)   Step 2: $$49-8x\ =\ \left(x-5\right)\left(x-5\right)$$ Step 3: ​ (b)  

Step 4: ​ ​​ $$0=x^2-2x-24$$ Step 5: ​​ (c)   Step 6: ​ ​ (d)  

Step 7: ​Check! $$\sqrt[]{49-8\left(6\right)}=\ \left(6\right)-5;\ \sqrt[]{49-8\left(-4\right)}=\left(-4\right)-5$$

Solution: ​ ​ (e)