Question Type 3: Rewriting expressions to apply exponents rules Bootcamps

Simplify $\displaystyle\frac{\sqrt{x}\,x^{3/2}}{x^2}$ and express the result as $x^p$.

Simplify $16^{\tfrac{3}{2}}$ and express the result as $2^x$.

Simplify $27^{2/3}\times9^{3/2}$ and express the result as $3^x$.

Simplify $\displaystyle\frac{2^4\times4^{-2}}{8^{-1}}$ and express the result as $2^x$.

Write $\displaystyle\left(\frac{8\cdot2^{20}}{2^{14}}\right)^{11}$ as $2^x$.