Complex Numbers and Rational Exponents Review

Select ALL expressions that are equivalent to  $64^{\frac{2}{3}}$  

•  $\left(\sqrt{64}\right)^3$  

• 
• 
•  $4^2$  

• 

Select ALL expressions that are equivalent to

$64^{\frac{3}{2}}$

• $8^3$

• $512$

• $\sqrt{64^3}$

• 
• $\left(64^{\frac{1}{3}}\right)^2$

Select ALL expressions that are equivalent to $27^{\frac{2}{3}}$

• 
• $3^2$

• 
• $9^2$

• 

Select ALL expressions that are equivalent to $729^{\frac{2}{3}}$

• 
• 
• $27^2$

• $81^2$

• $9^2$

How many real solutions does $x^2+8x+20=0$  have?

• 0 real solutions

• 1 real solution

• 2 real solutions

How many real solutions does  $x^2+8x-20=0$  have?

• 0 real solutions

• 1 real solution

• 2 real solutions

How many real solutions does  $x^2+8x+16=0$  have?

• 1 real solution

• 0 real solutions

• 2 real solutions

How many real solutions does  $x^2-6x+9=0$  have?

• 1 real solution

• 0 real solutions

• 2 real solutions

How many real solutions does $x^2-6x+3=0$ have?

• 0 real solutions
  

• 1 real solution

• 2 real solutions

How many real solutions does  $x^2-6x+10=0$  have?

• 0 real solutions
  

• 1 real solution

• 2 real solutions