5/6,3/8 The LCD is 2 24 48

Solution:

Given that,

We have to find the least common denominator

The denominators are 6, 8

List all prime factors for each number.

Prime Factorization of 6 is:

2 x 3  

Prime Factorization of 8 is:

2 x 2 x 2

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

2, 2, 2, 3

Multiply these factors together to find the LCM

LCM = 2 x 2 x 2 x 3 = 24

Thus the least common denominator is 24

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer: 4 (:

step-by-step explanation: