Simplfy each expression as a single power, then evaluate (show ur work) a. (6^2)^3
b. (2/3)^2
c. 8-^2
d. -5^3
e. (- 12)^2
f. 3^6 + 3^5 x 3
g. x^2 ➗ x^4 x x^2
h. (3^2)^4 ➗ 3^3

9x

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week