How would you rewrite x^(9/7) ???
1 answer:
The given expression is

We can write it in radical form, and the denominator of the exponent became the power of the radical. That is
![x^{9/7} = \sqrt[7]{x^9}](https://tex.z-dn.net/?f=x%5E%7B9%2F7%7D%20%3D%20%5Csqrt%5B7%5D%7Bx%5E9%7D)
And
![\sqrt[7]{x^9} = \sqrt[7]{x^7*x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E9%7D%20%3D%20%5Csqrt%5B7%5D%7Bx%5E7%2Ax%5E2%7D)
We can also write it as
![\sqrt[7]{x^7}*\sqrt[7]{x^2} = x \sqrt[7]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E7%7D%2A%5Csqrt%5B7%5D%7Bx%5E2%7D%20%3D%20x%20%5Csqrt%5B7%5D%7Bx%5E2%7D)
And that's the simplified form of the given exponential form .
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