Answer
$a)$ $b^{5/4}$
$b)$ $2a^{7/6}$
Work Step by Step
$a)$ $\sqrt[4]{b^{3}}\sqrt{b}$
Rewrite the radical expressions as powers with rational exponent:
$\sqrt[4]{b^{3}}\sqrt{b}=b^{3/4}\cdot b^{1/2}=...$
Evaluate the product:
$...=b^{3/4+1/2}=b^{5/4}$
$b)$ $(2\sqrt{a})(\sqrt[3]{a^{2}})$
Rewrite the radical expressions as powers with rational exponent:
$(2\sqrt{a})(\sqrt[3]{a^{2}})=(2a^{1/2})(a^{2/3})=...$
Evaluate the product:
$...=2a^{1/2+2/3}=2a^{7/6}$
