To simplify: The expression and eliminate coefficients if any: a) sqrt[4]{b^{3}} sqrt{b} b) (2sqrt{a}) (sqrt[3]{a^{2}})

To simplify: The expression and eliminate coefficients if any:
a)
b)
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gwibdaithq
a) Definition used:
Definition of rational exponents:
"For any rational exponent $\frac{m}{n}$ in its lowest terms, where m and n are integers and we define, ${\left(a\right)}^{\frac{m}{n}}=\sqrt{n}\left\{{\left(a\right)}^{m}\right\}={\left(\sqrt{n}\left\{a\right\}\right)}^{m}$
Formula used:
"The product of two powers with the same base a and different exponents m and n is given by,
That is, while multiplying two powers with same base, the exponents are added and the base will remain the same.
Calculation:
The given expression is
Use the definition of rational exponents and the above formula and simplify the expression as shown below.

$={b}^{\frac{5}{4}}$
Therefore, the simplified form of the expression is ${b}^{\frac{5}{4}}$
b) Use the definition of rational exponents and the formula mentioned in sub part (a) and simplify the expression as shown below.

$=2{a}^{\frac{7}{6}}$
Therefore, the simplified form of the expression is $2{a}^{\frac{7}{6}}$