Chapter A.6, Problem 3MP

(A)

To determine

To simplify: The expression $9^{\frac{3}{2}}$ and express the answer using positive exponents only.

(B)

To determine

To simplify: The expression ${\left(-27\right)}^{\frac{4}{3}}$ and express the answer using positive exponents only.

(C)

To determine

To simplify: The expression $\left(5y^{\frac{1}{4}}\right)\left(2y^{\frac{1}{3}}\right)$ and express the answer using positive exponents only.

(D)

To determine

To simplify: The expression ${\left(2x^{\frac{-3}{4}}{y}^{\frac{1}{4}}\right)}^4$ and express the answer using positive exponents only.

(E)

To determine

To simplify: The expression ${\left({\frac{8x}{x^{\frac{2}{3}}}}^{\frac{1}{2}}\right)}^{\frac{1}{3}}$ and express the answer using positive exponents only.