a 4^2/3 x 4^2 1/5 = b 8^4 : 8^1/2 =

a. 4^(2/3+11/5)= 4^5 1/5
B. 8^(4-1/2) = 8^7/2

[tex] {4}^{ \frac{2}{3} } \times {4}^{2 \frac{1}{5} } \\ = {4}^{ \frac{2}{3} } \times {4}^{ \frac{11}{5} } \\ = {4}^{ \frac{2}{3} + \frac{11}{5} } \\ = {4}^{ \frac{10 + 33}{15} } \\ = {4}^{ \frac{43}{15} } \\ = {4}^{2 \frac{13}{5} } [/tex]

[tex] \frac{ {8}^{4} }{ {8}^{ \frac{1}{2} } } = {8}^{4 - \frac{1}{2} } \\ = {8}^{ \frac{8 - 1}{2} } \\ = {8}^{ \frac{7}{2} } \\ = {8}^{3 \frac{1}{2} } [/tex]