
in case you wonder why we used 105 as LCD,
21 = 3 * 7
15 = 3 * 5
the "3" is common to both denominators, so we "use it once" and our LCD is then 3 * 7 * 5.
Answer:

Step-by-step explanation:
Given: 
To choose: the correct option
Solution:
Power refers to a number of times, a number is multiplied by itself. Another name for power is exponent.
As per rule of exponents, 
Here,

Therefore,
![(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }](https://tex.z-dn.net/?f=%28-32%29%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%5B%28-2%29%5E5%5D%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%28-2%29%5E%7B5%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D)
Here, 
So,
![(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }=(-2)^3=-8](https://tex.z-dn.net/?f=%28-32%29%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%5B%28-2%29%5E5%5D%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%28-2%29%5E%7B5%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%28-2%29%5E3%3D-8)
Answer:
Vertical angles
Actually the correct answer should be Vertically opposite angles
Answer:
B. 
Step-by-step explanation:
The graph of f(x) is the graph of g(x) translated 5 units downwards.
Answer:
Geometric and a common ratio of 7
Step-by-step explanation:
I found this out by dividing all the number and for each time I divided. I always got 7
Ex. 21÷3, 3÷3/7, 3/7÷3/49
Hope this helped