Answer:
![\displaystyle 2^{\frac{6}{5}}=2\sqrt[5]{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5E%7B%5Cfrac%7B6%7D%7B5%7D%7D%3D2%5Csqrt%5B5%5D%7B2%7D)
Step-by-step explanation:
<u>Fractional Exponents</u>
An expression like

can be expressed as a radical of the form:
![\sqrt[m]{a^n}](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Ba%5En%7D)
We have the expression:

Its equivalent radical form is:
![\displaystyle 2^{\frac{6}{5}}=\sqrt[5]{2^6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5E%7B%5Cfrac%7B6%7D%7B5%7D%7D%3D%5Csqrt%5B5%5D%7B2%5E6%7D)
Since the exponent is greater than the index of the radical, we can take 2 out of it by following the procedure:
![\sqrt[5]{2^6}=\sqrt[5]{2^5\cdot 2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E6%7D%3D%5Csqrt%5B5%5D%7B2%5E5%5Ccdot%202%7D)
Taking out
from the radical:
![\sqrt[5]{2^6}=2\sqrt[5]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B2%5E6%7D%3D2%5Csqrt%5B5%5D%7B2%7D)
Thus:
![\displaystyle 2^{\frac{6}{5}}=2\sqrt[5]{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5E%7B%5Cfrac%7B6%7D%7B5%7D%7D%3D2%5Csqrt%5B5%5D%7B2%7D)
Jenna has $43 and Heidi has $17.
Step-by-step explanation:
Total amount = $60
Let,
Amount of Jenna = x
Amount of Heidi = y
According to given statement;
x+y=60 Eqn 1
x=2y+9 Eqn 2
Putting value of Eqn 2 in Eqn 1;

Dividing both sides by 3,

Putting y=17 in Eqn 2

Jenna has $43 and Heidi has $17.
Keywords: linear equations, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Answer:
trick question, the cat is going to die anyways so forget the food
Step-by-step explanation: