Rational Exponents to radicals and vice versa

Multiple Choice

Write the above expression in exponential form.

• $$\left(4n\right)^{\frac{3}{2}}$$

• $$\left(4n\right)^{\frac{2}{3}}$$

• $$4n^{\frac{2}{3}}$$

• $$4n^{\frac{3}{2}}$$

Multiple Choice

$$3\sqrt{p^3}$$  Write the expression in exponential form.

• $$3p^{\frac{3}{2}}$$  

• $$3p^{\frac{2}{3}}$$  

• $$\left(3p\right)^{\frac{2}{3}}$$  

• $$\left(3p\right)^{\frac{3}{2}}$$  

Multiple Choice

$$\sqrt{10x}$$  

Rewrite into rational exponent form

• $$10x^{\frac{1}{2}}$$  

• $$\left(10x\right)^{\frac{1}{2}}$$  

• $$\left(10x\right)^2$$  

• $$10x^2$$  

Multiple Choice

Simplify: 

$$121^{\frac{3}{2}}$$  

• ∛121
• 121
• √11
• 1331

Multiple Choice

Simplify: 

$$16^{-\frac{5}{2}}$$  

• 1024
• 1 ⁄ 1024
• 32
• 1 / 32

Multiple Choice

Simplify: 

$$\left(\frac{4}{27}\right)^{-\frac{1}{3}}$$  

• (∛4) / 3
• 2 / 3
• 3 / (∛4)
• 3/2

Multiple Choice

Simplify

$$\left(-216\right)^{-\frac{1}{3}}$$  

• -6

• 6

• -1/6

• Not possible

Multiple Choice

Evaluate:

$$\frac{49^{\frac{7}{2}}}{49^{\frac{3}{2}}}$$  

• √49¹¹
• 7¹¹ 
• 49
• 7⁴ = 2401