Answer:
a) 5^4 / 5^2, 5^2
b) 7^3 / 7^3, 7^0=1
c) 8^7/8^4, 8^3
Step-by-step explanation:
A quotient of two powers is basically the powers before its simplified. So for a 5 x 5 x 5 x 5 is 5 being multiplied by itself 4 times divided by 5 x 5 which is 5 being multiplied by itself 2 times. So this leads us to the conclusion that 5^4/5^2 for the quotient of two powers. Then using the rules of powers when dividing powers you subtract so in this case 4-2 is 2. So the answer is 5^2 for single power. The other problems are basically the same as well, just different numbers.
b) (7 x 7 x 7)/ (7 x 7 x 7)= 7^3/7^3=7^0=1
c)(8 x 8 x 8 x 8 x 8 x 8 x 8)/(8 x 8 x 8 x 8)= 8^7/8^4= 8^3
Start of by trying to make 4w the subject of the equation. + 15 to each side making the equations 4w= 15+17, (15+17=32) 4w= 32 meaning that w= 8 because all you do is divide each side of the equation by 4 . HOPE THAT HELPS . if you need more help just shout me
The upper
Fence is the top of the box. 40
The lower fence is the bottom of the box. 30
Upper fence. 70
Lower fence. 50
-6 + 6 = 0
0 + -2x = 12 + 6 -2x = 12 + 6<span>4x+2(x-3)=8x+12 is our main problem right? so...
</span><span>4x + (-3 * 2 + x * 2) = 8x + 12
4x + (-6 + 2x) = 8x + 12
</span><span>So next we do:
</span><span>-6 + 4x + 2x = 8x + 12
Reorder the terms :) </span><span>-6 + 6x = 12 + 8x
</span>Now were going to solve for x
<span>-6 + -2x = 12 + 8x + -8x
</span><span>8x + -8x = 0
-6 + -2x = 12 + 0
-6 + -2x = 12
</span>-6 + 6 = 0
0 + -2x = 12 + 6
-2x = 12 + 6=
<span>-2x = 18
so now were just going to divide each side by -2
and so thats going to be like this
-2x = 18</span>
/ -2 /-2
0 -9
so whats left over is x = -9
So your answer is A.
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>.</em><em>.</em><em>.</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em><em>.</em>