3. use the law of exponents to evaluate (1/x) ^ -n when x= 7 and n= 2

Sunny_sXe [5.5K]

Remove parenthesis on m-2 because you don't need to distribute ( you have an invisible 1, but it won't change the values bc it's a one) Combine your like terms on the side you removed the parenthesis. m-2-5 -> m-7. Now on the other side distribute the 2 to the terms in the parenthesis. once you've done that your equation should look like this 8- 2m +8. now lets look at th full equation. m-7=8-2m+8 move the -2m to the other side, by adding. you now have an equation like this 3m- 7=16. move the -7 to the other side by adding. 3m=23. divide 23 by 3. you're answer should be m= 23/3
its best to leave your answer as a fraction.
Hope this helped. (:

8 0

3 years ago

What is the factor tree of 99 and 165 and what is the GCF?

Shtirlitz [24]

99
/ \
11 9
/ \
3 3

165
/ \
33 5
/ \
3 11

GCF=3

5 0

3 years ago

Enter the values for m, n, and p that complete the difference:

inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): $\frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}$