Answer:
1. ![(\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7B%28m%2B2%29%7D%29%5E%7B3%7D%20%3D%20%20%28m%2B2%29%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D)
2. ![(\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B%28m%2B2%29%7D%29%5E%7B5%7D%20%3D%20%20%28m%2B2%29%5E%7B%5Cfrac%7B5%7D%7B3%7D%7D)
3. ![\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28m%29%7D%5E%7B3%7D%2B2%20%3D%20%20m%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%2B2)
4. ![\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28m%29%7D%5E%7B5%7D%2B2%20%3D%20%20m%5E%7B%5Cfrac%7B5%7D%7B3%7D%7D%2B2)
Step-by-step explanation:
Recall that
![(\sqrt[n]{x})^{m} = (x^{\frac{m}{n}})](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Bx%7D%29%5E%7Bm%7D%20%3D%20%20%28x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%29)
Where 
is called radicand and n is called index
1. Root(5, (m + 2) ^ 3)
In this case,
n is 5
m is 3
x = (m + 2)
2. Root(3, (m + 2) ^ 5)
In this case,
n is 3
m is 5
x = (m + 2)
3. Root(5, m ^ 3) + 2
In this case,
n is 5
m is 3
x = m
4. Root(3, m ^ 5) + 2
In this case,
n is 3
m is 5
x = m
Answer:
-15/4
Step-by-step explanation:
slope = change in y / change in x = (-7 - 8) / (7 - 3) = -15/4
Answer:
1. 2
2. -9
3. 2+-9
4. -7
5. -15 + 8 = -7
Step-by-step explanation:
The surface of the water is 0. If Paula is above the surface of the water than she is positive. If she is below or heading down she is negative. She starts 2 feet above which is 2. She descends a total of -9 from 2 to -7. She ends up -7 or 7 feet below surface. So she travels from 2+-9 = -7.
Yolanda owes her friend $15 or -15. She earns $8 a week or +8. If she earns 8 dollars this week and pays Yolanda back then -15+8=-7. She now owes $7.
Answer:
x = 40
Step-by-step explanation:
Since FG and HI are parallel and BC is a transversal, then
∠ GBE and ∠ GBE are same side interior angles and are supplementary, thus
3x + 20 + x = 180, that is
4x + 20 = 180 ( subtract 20 from both sides )
4x = 160 ( divide both sides by 4 )
x = 40
