![(\sqrt[5]{x^{7}})^{3}=(x^{\frac{7}{5}})^{3}=x^{\frac{7\cdot3}{5}}=x^{\frac{21}{5}}](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bx%5E%7B7%7D%7D%29%5E%7B3%7D%3D%28x%5E%7B%5Cfrac%7B7%7D%7B5%7D%7D%29%5E%7B3%7D%3Dx%5E%7B%5Cfrac%7B7%5Ccdot3%7D%7B5%7D%7D%3Dx%5E%7B%5Cfrac%7B21%7D%7B5%7D%7D)
The root is equivalent to a fractional power with that number as the denominator. Otherwise, the rules of exponents apply.
 
        
             
        
        
        
Answer:
72 cupcakes
Step-by-step explanation:
Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then
1 cup of flour - 4 cupcakes
18 cups of flour - x cupcakes
Write a proportion:

Cross multiply:

 
        
             
        
        
        
Answer:
George is 12, Mary Lou is 24 and Kate is 10. 
Step-by-step explanation:
To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46
x + 2x + x - 2 = 46
4x - 2 = 46
4x = 48
x = 12
This means that George is 12.
Mary Lou = 2x
Mary Lou = 2(12)
Mary Lou = 24
Kate = x - 2
Kate = 12 - 2
Kate = 10
 
        
                    
             
        
        
        
The answer is B)6.09.12.24)
        
             
        
        
        
Answer:$8.75
Step-by-step explanation:Thus, a product that normally costs $35 with a 25 percent discount will cost you $26.25, and you saved $8.75. You can also calculate how much you save by simply moving the period in 25.00 percent two spaces to the left, and then multiply the result by $35 as follows: $35 x .25 = $8.75 savings.