Write (2n^2)^3without exponents . Fill in the blanks. (2n^2)^3 = ?n^?​

Work Shown:

(2n^2)^3

(2n^2)*(2n^2)*(2n^2)

(2*2*2)*(n^2*n^2*n^2)

8n^(2+2+2)

8n^6

I used the rule that a^b*a^c = a^(b+c)

Alternative route:

(2n^2)^3

(2)^3 * (n^2)^3

8n^(2*3)

8n^6

The rules used here were (a*b)^c = (a^b)*(a^c) and (a^b)^c = a^(b*c).

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)