Find the least common multiple of these two expressions. 24y^3u^6w^8 and 2u^6w^5

Step-by-step explanation:

To find the common minimum multiple between two expressions, you must choose the common factors with their greatest exponent and the non-common factors with their greatest exponent.

For this problem we have the following expressions:

and

To begin with, you can decompose the term 24 into its prime factors.

24 | 2

12  | 2

6   | 2

3   | 3

one

Then the previous expressions are as follows.

and

We take the common terms first with their greatest exponent:

Now the terms are not common with its greatest exponent

Finally the multiple common multiple is:

2 5/8 is the final answer! : )

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet