Radicals and Exponents Evaluate each expression:a)1323b)23323c)1441644

a) Formula used: 
Power of nth roots: 
$\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{a}}$ 
Where n is any positive integer and a and b are bases. 
Calculation: 
The given exponential expression is ${\displaystyle \frac{\sqrt{132}}{\sqrt{3}}}$ 
Use the above-mentioned formula and calculate the value of ${\displaystyle \frac{\sqrt{132}}{\sqrt{3}}}$ as shown below. 
${\displaystyle \frac{\sqrt{132}}{\sqrt{3}}=\frac{\sqrt{11\cdot 2\cdot 2\cdot 3}}{\sqrt{3}}}$ 
${\displaystyle =\frac{2\sqrt{11}\cdot \sqrt{3}}{\sqrt{3}}}$ 
${\displaystyle =2\sqrt{11}}$ 
Thus, the value of exponential is ${\displaystyle 2\sqrt{11}}$ 
b) Calculation: 
Use the above mentioned formula and simplify the given expression as shown below. 
$\sqrt[3]{2}\sqrt[3]{32}=\sqrt[3]{2}\sqrt[3]{2\cdot 2\cdot 2\cdot 2\cdot 2}$ 
${\displaystyle ={\left(2^6\right)}^{\frac{1}{3}}}$ 
${\displaystyle =2^2}$ 
${\displaystyle =4}$ 
Thus, the value of exponential expression is 4. 
c) Calculation: 
$\sqrt[4]{\frac{1}{4}}\sqrt[4]{\frac{1}{64}}=\sqrt[4]{\frac{1}{4}}\sqrt[4]{\frac{1}{4·4·4}}$ 
$=\sqrt[4]{\frac{1}{{\left(4\right)}^4}}$ 
${\displaystyle =\frac{1}{{\left(4^4\right)}^{\frac{1}{4}}}}$ 
${\displaystyle =\frac{1}{4}}$ 
The value of exponential is ${\displaystyle \frac{1}{4}.}$

Answer is given below (on video)