2.1.2 Cubes

The following cubes should also be memorized:

53=1255^3 = 12563=2166^3 = 21673=3437^3 = 34383=5128^3 = 512
93=7299^3 = 729103=100010^3 = 1000113=133111^3 = 1331123=172812^3 = 1728
133=219713^3 = 2197143=274414^3 = 2744153=337515^3 = 3375163=409616^3 = 4096
173=491317^3 = 4913183=583218^3 = 5832193=685919^3 = 6859203=800020^3 = 8000

Again, only FOIL when necessary on the practice problems below.

Problem Set 2.1.2

17283\sqrt[3]{1728}
11311^3
14×14×1414 \times 14 \times 14
(−343)1/3(-343)^{1/3}
12312^3
16316^3
17283÷36\sqrt[3]{1728} \div \sqrt{36}
114÷1111^4 \div 11
(−12)3(-12)^3
(2197)1/3(2197)^{1/3}
(−729)1/3(-729)^{1/3}
838^3
15315^3
12×12×1212 \times 12 \times 12
(125÷64)1/3(125 \div 64)^{1/3}
13313^3
7×7×77 \times 7 \times 7
(−1331)1/3(-1331)^{1/3}
6×6×66 \times 6 \times 6
15×15×1515 \times 15 \times 15
17303×145\sqrt[3]{1730} \times 145 *
(27÷216)1/3(27 \div 216)^{1/3}
If x=7 then (x+3)(x2−3x+9)\text{If } x = 7 \text{ then } (x + 3)(x^2 - 3x + 9)
676÷−21973\sqrt{676} \div \sqrt[3]{-2197}
(1.728)1/3(1.728)^{1/3}
83×538^3 \times 5^3
115÷12111^5 \div 121
1.3313\sqrt[3]{1.331}
89×90×9189 \times 90 \times 91 *
.7293\sqrt[3]{.729}
(121)3(121)^3 *
34−63+923^4 - 6^3 + 9^2
17283÷576\sqrt[3]{1728} \div \sqrt{576}
225×33753\sqrt{225} \times \sqrt[3]{3375}
83−938^3 - 9^3
133×3413^3 \times 3^4 *
23×53×732^3 \times 5^3 \times 7^3
119×120×121119 \times 120 \times 121 *
143×4514^3 \times 4^5 *
848^4