Simplify. Write answers with positive exponents only.

The answer to your question is 2⁸x²⁰ y²⁴    or    256x²⁰y²⁴

Step-by-step explanation:

Data

                    (2x³y³)⁴ (2x²y³)⁴

To solve this problem, use the law of exponents.

1.- Use the law of Power of a power rule

                    (2x³y³)⁴ (2x²y³)⁴ =           (2⁴x¹²y¹²) (2⁴x⁸y¹²)      

2.- Use the multiplication rule

                      (2⁴x¹²y¹²) (2⁴x⁸y¹²)  =    2⁸x²⁰ y²⁴

3.- The answer is      2⁸x²⁰y²⁴ or we can simplify more like

                                 256x²⁰y²⁴

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be