Answer:
see attachment
Step-by-step explanation:
The applicable property of exponents is ...
![\sqrt[n]{x^m}=x^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Em%7D%3Dx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
The 4th selection uses this property directly. The 3rd selection uses the property

to show that the cubes of the two expressions are equivalent. Since all the numbers involved are real numbers, this is equivalent to showing the expressions equivalent.
Answer: 3 11/20
Step-by-step explanation:
You would first simplify 3 3/4 which is 15/4 then you would subtract it with 1/5
Next, you would have to find the GCD ( greatest common factor) for 15/4 and 1/5 which is 20 so multiply 15 by 5 and 4 by 5 which is 75/20, then multiply the top and bottom with 4 for 1/5 which is 4/20 . You then would subtract the simplified forms 75/20 with 4/20 Which is 71/20 which u can simplify to
3 11/20.
Answer:
There are 6 green beads there.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of green beads
y is the number of yellow beads
The ratio of green beads to yellow beads in a bracelet is three to four.
This means that

So


The total number of beads is 14.
This means that 
How many green beads are there ?
This is x.

However

So

Using multiplying by the gcm(3)



There are 6 green beads there.
Answer:
a=3
Step-by-step explanation:
x – 2y = 4
ax– 6y = 12
To have infinitely many solutions, the two equations have to be equal
Multiply the first equation by 3
3x -6y = 12
ax -6y = 12
a = 3