When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)
When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)
So your answer would be 7^(-1).
Hopefully my explanation was clear?
Answer:

Step-by-step explanation:
The LCM of 14, 21 and 6 is 42
We require to change the fractions to fractions with a denominator of 42
+
+ 
=
+
+
← add the numerators, leaving the denominator
= 
=
← divide both values by 2
=
← in simplest form
Answer:
Incomplete question
Complete question;
A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.
Another group of golfers consists of two members and one nonmember. They paid a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
Answer: X = $82.695 for members
Y = $49.615 for non members
Step-by-step explanation:
Let's use X to denote members and Y for non-members.
Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430
X + 7Y = 430. . .1
Amount paid by 2 members to play + amount paid by one non-member to play = 215
2X + Y = 215. . .2
Solving both equations simultaneously
X+7Y = 430
2X +Y = 215
Therefore, from eqn 1. X = 430-7y
Substituting this into wan 2 gives
2(430-7Y) + Y = 215
860-14Y + Y = 215
860-215 =13Y
645 = 13y
Y = 49.615
Therefore substituting Y = 49.615 into any equation above
X + 7(49.615) = 430
X = 430-347.05
X = 82.695
Answer:

Step-by-step explanation:
Hi there!
We are given the following equation:
x+6y=-6
And we want to convert it into slope-intercept form
Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept
The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients
Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side
So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y
Here is our equation again:
x+6y=-6
Start by subtracting x from both sides
x+6y=-6
-x -x
_______________
6y=-x-6
Now divide both sides by 6

We can simplify the fractions to become:

Hope this helps!
See more on converting from standard to slope-intercept form here: brainly.com/question/26579052
Answer:
Here is the solution...hope it helps:)