Megan:
x to the one third power =

<span>x to the one twelfth power = </span>

<span>The quantity of x to the one third power, over x to the one twelfth power is:
</span>

<span>
Since </span>

then

Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4

Julie:
x times x to the second times x to the fifth = x * x² * x⁵
<span>The thirty second root of the quantity of x times x to the second times x to the fifth is
</span>
![\sqrt[32]{x* x^{2} * x^{5} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B32%5D%7Bx%2A%20x%5E%7B2%7D%20%2A%20x%5E%7B5%7D%20%7D%20)
<span>
Since </span>

Then
![\sqrt[32]{x* x^{2} * x^{5} }= \sqrt[32]{ x^{1+2+5} } =\sqrt[32]{ x^{8} }](https://tex.z-dn.net/?f=%5Csqrt%5B32%5D%7Bx%2A%20x%5E%7B2%7D%20%2A%20x%5E%7B5%7D%20%7D%3D%20%5Csqrt%5B32%5D%7B%20x%5E%7B1%2B2%2B5%7D%20%7D%20%3D%5Csqrt%5B32%5D%7B%20x%5E%7B8%7D%20%7D)
Since
![\sqrt[n]{x^{m}} = x^{m/n} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20%3D%20x%5E%7Bm%2Fn%7D%20%7D%20)
Then
![\sqrt[32]{ x^{8} }= x^{8/32} = x^{1/4}](https://tex.z-dn.net/?f=%5Csqrt%5B32%5D%7B%20x%5E%7B8%7D%20%7D%3D%20x%5E%7B8%2F32%7D%20%3D%20x%5E%7B1%2F4%7D%20)
Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.
Answer:

Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:

Now that we have our equation, let's distribute the
and the
into the parentheses they are next to:

Combine like terms:

Subtract
from both sides of the equation:

Divide by the coefficient of
, which is
:

~
Check your work by substituting
into one of the equations above:



It's correct!
Answer: $ 55
Step-by-step explanation:
When interest is compounded continuously, the final amount will be

When interest is compounded daily, the final amount will be

, where P= Principal , r = rate of interest , t = time
For Hunter , P= $750, r = 
t = 18 years

For London , P= $750, r = 
t = 18 years

Difference = $ 2471.48 - $ 2416.24 =$ 55.24≈$ 55
Hence, Hunter would have $ 55 more than London in his account .
Answer:
it would be A
explanation: if you get $40 dollars and divide it by 4 (which would be equal to giving to 4 people) and then take 3 fourths of it your friend would be left with $10
Answer:
y=0x+3
y=3x-11
2,11
Step-by-step explanation:
This is the answer I know. let me know if I'm wrong