Is (xy^2)^3 the same as
(xy^3)^2

no

Step-by-step explanation:

(xy²)³ = x³ = x³

(xy³)² = x² = x²

yes

Step-by-step explanation:

Mathematical rules tell you that you can multiply the powers, so in both cases the result will be xy^(6).

To check it, let's write it out.

1.

xy^2 means xy*xy

(xy*xy)^3 means (xy*xy)*(xy*xy)*(xy*xy) = xy^6

2.

xy^3 means xy*xy*xy

(xy*xy*xy)^2 means (xy*xy*xy)*(xy*xy*xy)= xy^6

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

answer: 177/8

step-by-step explanation: