or
4 to the 21st over 5 to the 6th.
<h2>Step-by-step explanation:</h2>First, we need to write our expression. Let's do it step by step:
<u>4 to the 7th:</u>
<u>5 squared:</u>
<u>4 to the 7th over 5 squared:</u>
<u>4 to the 7th over 5 squared all raised to the 3rd power:</u>
<u></u>
Using the law of exponents:
Finally, the answer is 4 to the 21st over 5 to the 6th.
the complete question in the attached figure
we have
$72 ------------------------------------ > for every television sold
$90 ------------------------------------ > for every computer sold.
let
x--------------------- > numbers of television sold
y--------------------- > numbers of computer sold
then
72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5
y >= (5-x)/1.25--------------see the graph in attached figure
case A---------- > (5,2) (3,3) (1,4)
72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution
72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution
72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution
case B------------ > (4,0) (2,2) (1,1)
72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution
72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution
72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution
case C------------ > (3,1) (2,2) (1,0)
72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution
72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution
72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution
case D------------ > (4,0) (3,3) (1,4)
72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution
72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution
72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution
<span>the answer is case A </span>
