Respuesta :
My first answer. Lots of parts for five minutes. Took me that long to decode the question. It looks like your multiplying where you're taking roots.
[tex] (\sqrt[4]{7})^5 = (7^{\frac 1 4})^5 = 7^{\frac 5 4} [/tex]
Choice A. Next
[tex](3^{2/3})^{1/6} = 3^{ \frac 2 3 \times \frac 1 6 } = 3^{\frac 1 9} = \sqrt[9]{ 3} [/tex]
Choice B.
[tex]\dfrac {2^{3/4} } {2 ^{1/2} } = 2^{3/4 - 1/2} = 2^{1/4} = \sqrt[4] {2} [/tex]
Choice C
[tex] (\sqrt[4]{7})^5 = (7^{\frac 1 4})^5 = 7^{\frac 5 4} [/tex]
Choice A. Next
[tex](3^{2/3})^{1/6} = 3^{ \frac 2 3 \times \frac 1 6 } = 3^{\frac 1 9} = \sqrt[9]{ 3} [/tex]
Choice B.
[tex]\dfrac {2^{3/4} } {2 ^{1/2} } = 2^{3/4 - 1/2} = 2^{1/4} = \sqrt[4] {2} [/tex]
Choice C