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

a. 1/49
b. 1/7
c. 7
d. 49

4. which expression is equivalent to (n^6) ^3

a. n^18
b. n^9
c. n^3
d. n^2

5. which is equivalent to (2x^2) ^3

a. 8x^6
b. 6^6
c. 8x^5
d. 6x^5

6. simplify the expression (-x) ^5 (4x) ^2

a. -16x^7
b. -16x^10
c. -8x^7
d. 16x^10

13. the diameter of the sun is 864,000 miles. how can this value be expressed in scientific notation.

a. 8.64 x 10^5
b. 0.864 x 10^5
c. 86.4 x 10^3
d. 8.64 x 10^ -5

3030 ur welcome

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺