Is (x * y)^2 = x^2 * y^2 the same true or false and why?
*--> multiplication

TRUE  

Step-by-step explanation:

In symbols, the rule for exponents is  

(xy)^{a} = x^{a}y^{a}

In words, the rule is, When you raise a product to a power, you distribute the power to each factor.

For example,

(xy)² = x²y²

∴ The statement is TRUE.

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