Answer:
hexagonal prism
Step-by-step explanation:
has 6 sides
Answer:
data:image/png;base64,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
You would write it as 17/3 because you times 3 by 5 and get 15 and then you add the 2 to get 17 and you leave the 3 underneath the 17 so you final answer is 17/3 and that is a improper fraction
Answer:
![\displaystyle \sqrt[14]{x^3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Csqrt%5B14%5D%7Bx%5E3%7D)
Step-by-step explanation:
<u>Radical As A Fractional Exponent
</u>
We can write a radical as a fractional exponent. The power to which the base is raised is the numerator and the root is the denominator. For example, the radical
![\sqrt[5]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D)
is equivalent to
![\displaystyle x^{\frac{3}{5}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D)
A) The simplification shown in the image is wrong because the student subtracted the roots of the radicals separated from the subtraction of the powers.
B) The correct procedure is
* Express both radicals as fractional exponents
* Subtract both exponents
* Simplify the resultant fraction
* Return the fractional exponent to radical form
In our case, the correct procedure is
![\displaystyle \frac{\sqrt[7]{x^5}}{\sqrt[4]{x^2}}=\frac{x^{\frac{5}{7}}}{x^{\frac{2}{4}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Csqrt%5B7%5D%7Bx%5E5%7D%7D%7B%5Csqrt%5B4%5D%7Bx%5E2%7D%7D%3D%5Cfrac%7Bx%5E%7B%5Cfrac%7B5%7D%7B7%7D%7D%7D%7Bx%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%7D)
![\displaystyle = x^{\frac{5}{7}-\frac{2}{4} }](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3D%20x%5E%7B%5Cfrac%7B5%7D%7B7%7D-%5Cfrac%7B2%7D%7B4%7D%20%7D)
![\displaystyle = x^{\frac{3}{14} }](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3D%20x%5E%7B%5Cfrac%7B3%7D%7B14%7D%20%7D)
![\displaystyle \boxed{ \sqrt[14]{x^3}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cboxed%7B%20%5Csqrt%5B14%5D%7Bx%5E3%7D%7D)