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:
Both Wolverine and James Bond will have paid the same amount after 10 months.
Step-by-step explanation:
Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.
As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,
Amount paid by Wolverine in x months is equal to 
As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,
Amount paid by James Bond in x months is equal to 
To find number of months after which both Wolverine and James Bond will have paid the same amount,
solve 

So, both Wolverine and James Bond will have paid the same amount after 10 months.
Answer:
z = -1
Step-by-step explanation:
7 - z / -2 - (-1)
7 - z / -2+1
7 - z / -1
-7 +z = -8
z = -1
to check the work
(-1,-1) (-2,7)
7 + 1 / -2 + 1
8 / -1
= -8
78- acute
144- obtuse
This is because anything less than 90 degrees is acute. Think of it as they are cute because they are tiny xD
=90 is right angel
And anything above 90 and below 360 is obtuse because it's fat xD
Use Pythagorean theorem to find BC
AB^2 + BC^2 = AC^2
6^2 + BC^2 = 10^2
36 + BC^2 = 100
BC^2 = 64
BC = 8
If AC = 10, CD and AD = 5
Tan = opp/adj
Tan = 5/8
Triangle BCD is a 45-45-90 triangle
CD = BD = 5
Sec = inverse cos
sec = hyp/adj
Sec = 8/5