Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0. StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction

Option D.

Step-by-step explanation:

The given expression is

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

Therefore, the correct option is D.

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