Simplify $\sqrt{b^{\frac{3}{\frac{4}{\sqrt{b}}}}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{3}{\frac{4}{\sqrt{b}}}$ and $n$ equals $\frac{1}{2}$
Multiplying fractions $\frac{3}{\frac{4}{\sqrt{b}}} \times \frac{1}{2}$
Multiply the fraction by the term
Multiply $2$ times $4$
Divide fractions $\frac{3}{\frac{8}{\sqrt{b}}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
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