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1020/3[(5-1)^3-(-4)]-5^3

 Oct 11, 2015

Best Answer 

 #2
avatar+118723 
+5

1020/3[(5-1)^3-(-4)]-5^3

 

\(1020/3[(5-1)^3-(-4)]-5^3\\ =\frac{1020}{3}[(5-1)^3-(-4)]-5^3\\ =340[4^3-\;-4]-5^3\\ =340[64+4]-125\\ =340*68-125\\ =23120-125\\ =22995\)

 Oct 11, 2015
 #1
avatar
+5

=22,995

 

Simplify the following:
(1020 ((5-1)^3--4))/(3)-5^3

(1020 ((5-1)^3--4))/(3) = (1020 ((5-1)^3--4))/3:
(1020 ((5-1)^3--4))/3-5^3


3 |  | 3 | 4 | 0
| 1 | 0 | 2 | 0
- |  | 9 |  |
|  | 1 | 2 |
| - | 1 | 2 |
|  |  |  | 0
|  |  | - | 0
|  |  |  | 0:
340 ((5-1)^3--4)-5^3

5-1 = 4:
340 (4^3--4)-5^3

4^3 = 4×4^2:
340 (4×4^2--4)-5^3

4^2 = 16:
340 (4×16--4)-5^3

4×16  =  64:
340 (64--4)-5^3

-(-4)  =  4:
340 (64+4)-5^3

64+4 = 68:
340×68-5^3

5^3 = 5×5^2:
340×68-5×5^2

5^2 = 25:
340×68-5×25

5×25  =  125:
340×68-125

|  | 3 | 4 | 0
× |  |  | 6 | 8
| 2 | 7 | 2 | 0
2 | 0 | 4 | 0 | 0
2 | 3 | 1 | 2 | 0:
23120-125

|  |  | 10 | 11 |
|  | 2 | 0 | 1 | 10
| 2 | 3 | 1 | 2 | 0
- |  |  | 1 | 2 | 5
| 2 | 2 | 9 | 9 | 5:
Answer: | 
| 22995

 Oct 11, 2015
 #2
avatar+118723 
+5
Best Answer

1020/3[(5-1)^3-(-4)]-5^3

 

\(1020/3[(5-1)^3-(-4)]-5^3\\ =\frac{1020}{3}[(5-1)^3-(-4)]-5^3\\ =340[4^3-\;-4]-5^3\\ =340[64+4]-125\\ =340*68-125\\ =23120-125\\ =22995\)

Melody Oct 11, 2015

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