What value of n makes the statement true?
6x^n• 4x^2=24x^6
n =

n =4

Step-by-step explanation:

6x^n• 4x^2=24x^6

Combine like terms

24 x^n *x^2 = 24 x^6

We know that a^b * a^c = a^(b+c)

24 x^(n +2) = 24 x^6

Divide each side by 24

x^(n +2) = x^6

The bases are the same so the exponents are the same

n+2 = 6

Subtract 2

n+2-2 = 6-2

n=4

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