What is th value of 7/3 ÷ 5/6
1 answer:
You might be interested in
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.
![(\sqrt[4]{7})^5 = (7^{\frac 1 4})^5 = 7^{\frac 5 4} ](https://tex.z-dn.net/?f=%20%28%5Csqrt%5B4%5D%7B7%7D%29%5E5%20%3D%20%287%5E%7B%5Cfrac%201%204%7D%29%5E5%20%3D%207%5E%7B%5Cfrac%205%204%7D%0A)
<span>Choice A. Next
</span>
![(3^{2/3})^{1/6} = 3^{ \frac 2 3 \times \frac 1 6 } = 3^{\frac 1 9} = \sqrt[9]{ 3} ](https://tex.z-dn.net/?f=%283%5E%7B2%2F3%7D%29%5E%7B1%2F6%7D%20%3D%203%5E%7B%20%5Cfrac%202%203%20%5Ctimes%20%5Cfrac%201%206%20%7D%20%3D%203%5E%7B%5Cfrac%201%209%7D%20%3D%20%5Csqrt%5B9%5D%7B%203%7D%20%0A%0A%0A)
Choice B.
![\dfrac {2^{3/4} } {2 ^{1/2} } = 2^{3/4 - 1/2} = 2^{1/4} = \sqrt[4] {2} ](https://tex.z-dn.net/?f=%5Cdfrac%20%7B2%5E%7B3%2F4%7D%20%7D%20%7B2%20%5E%7B1%2F2%7D%20%7D%20%20%3D%202%5E%7B3%2F4%20-%201%2F2%7D%20%3D%202%5E%7B1%2F4%7D%20%3D%20%5Csqrt%5B4%5D%20%7B2%7D%0A)
Choice C
<span>Choice A. Next
</span>
Choice B.
Choice C