Answer:

Step-by-step explanation:
Given

Required
The equivalent expression
We have:

Expand

Further expand

Apply laws of indices

Answer:
A) None
Step-by-step explanation:
1)
shoudnt neccesarily be a factor of nst, for example, if s = 3, t = 4, and n = 12, then both s and t are factors of n, but
is not a factor of nst = 144.
2)
shoudnt neccesarily be a factor of nst. Let s be 4, let t be 6, and let n be 12. Then n is a factor of both s and t, but
is not a factor of nst = 12*24. In fact, it is a greater number.
3) Again, s+t isnt necessarily a factor of nst, let s be 2 and t be 3. Then both s and t are factor of n = 12. However 5 = s+t is not a factor of nst = 72.
So, neither of the three options is guaranteed to be a factor of nst. In fact, for s = 4, t = 6, and n = 12, none of the three options are valid.
Answer:
In standard form, it would be 0.0000001901!
Step-by-step explanation:
As you can see, if the exponent is negative, the answer would be a decimal so moving the decimal place 7 times to the left, that would be your answer.
Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
Finding the slope




We know the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept



now substituting m = -10/7 and b = -45/7 in the slope-intercept form



Thus, the equation of the line in slope-intercept form is:
Given a slope
, the slope
of a line perpendicular to
is the opposite of the inverse of 
In other words:

So, the slope of CD is -5/2.