Answer:
Step-by-step explanation:
We are given an expression and we have to transform it into an expression with exponent.
5th root of x can be written as 
![(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bx%5E7%7D%29%5E3%5C%5C%5C%5C%28%28x%5E7%29%5E%5Cfrac%7B1%7D%7B5%7D%20%29%5E3)
The powers outside will be multiplied as: 
where the exponent is 
and it is a rational number by definition of rational numbers
Answer: 12 cm
Step-by-step explanation:
The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3
The greater radius is 3*4=12 (cm)
Answer:
x=7
Step-by-step explanation:
there are 16 ounces to a pound
10/5 = 2 ounces per day
16/2 = 8
so it took 8 days to eat 1 ppound
Answer:
no solution
Step-by-step explanation:
6y≥42
Divide each side by 6
6y/6≥42/6
y≥7
Then solve the second one
4y+12≤0
Subtract 12 from each side
4y+12-12≤0-12
4y ≤-12
Divide each side by 4
4y/4 ≤-12/4
y ≤-3
There is no solution since there is no overlap
