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# Exponent calculator, math. Definition, meaning

 Number to the power , 22 = 4
What is an exponent? Numexp means, that the number is multiplied exp times. exp is called exponent or power. Powers of a number are get by multiplying it by itself. For example 33 (3 to the 3rd power) can be written as 3 * 3 * 3 = 27. 102 (10 to the 2nd power) can be written as 10 * 10 = 100. So exponent 2 means that the number is multiplied two times by itself. Then it is said, that the number is "squared". Exponent 3 means that you need to multiply some number 3 times. Then it is said, that the number is "cubed".
Especial power is 1. Any number powered to 1 (Num1) represents itself. Another especial power is 0. For any number, except 0, Num0 is equal to 1. 34 is not equal to 3*4 = 12. It is equal to 3 * 3 * 3 * 3 = 81. But there are some trivial cases: 11 = 1 * 1 and 22 is equal to 2 * 2.

### Power of ten

101 represents one zero and equal to ten,
102 represents two zeros and it is one hundred,
103 represents three zeros and equal to one thousand,
104 represents four zeros and it is ten thousands,
105 represents five zeros and equal to one hundred thousands,
106 represents six zeros and it is to one million,
109 it is one billion (1 000 000 000).

### Power of two

21 represents bit and equal to 2,
28 it is octet (8 bits in abyte) and equal to 256,
210 represents one kilobyte and equal to 1024 bytes,
216 it is word on a 16-bit processor and equal to 65536,
220 represents one megabyte and equal to 1048576 bytes
224 it is the number of unique colors, which are used by usual monitors and equal to 16777216.

#### Set of numbers to the 2 power

 -50 2 = 2500 -25 2 = 625 1 2 = 1 26 2 = 676 -49 2 = 2401 -24 2 = 576 2 2 = 4 27 2 = 729 -48 2 = 2304 -23 2 = 529 3 2 = 9 28 2 = 784 -47 2 = 2209 -22 2 = 484 4 2 = 16 29 2 = 841 -46 2 = 2116 -21 2 = 441 5 2 = 25 30 2 = 900 -45 2 = 2025 -20 2 = 400 6 2 = 36 31 2 = 961 -44 2 = 1936 -19 2 = 361 7 2 = 49 32 2 = 1024 -43 2 = 1849 -18 2 = 324 8 2 = 64 33 2 = 1089 -42 2 = 1764 -17 2 = 289 9 2 = 81 34 2 = 1156 -41 2 = 1681 -16 2 = 256 10 2 = 100 35 2 = 1225 -40 2 = 1600 -15 2 = 225 11 2 = 121 36 2 = 1296 -39 2 = 1521 -14 2 = 196 12 2 = 144 37 2 = 1369 -38 2 = 1444 -13 2 = 169 13 2 = 169 38 2 = 1444 -37 2 = 1369 -12 2 = 144 14 2 = 196 39 2 = 1521 -36 2 = 1296 -11 2 = 121 15 2 = 225 40 2 = 1600 -35 2 = 1225 -10 2 = 100 16 2 = 256 41 2 = 1681 -34 2 = 1156 -9 2 = 81 17 2 = 289 42 2 = 1764 -33 2 = 1089 -8 2 = 64 18 2 = 324 43 2 = 1849 -32 2 = 1024 -7 2 = 49 19 2 = 361 44 2 = 1936 -31 2 = 961 -6 2 = 36 20 2 = 400 45 2 = 2025 -30 2 = 900 -5 2 = 25 21 2 = 441 46 2 = 2116 -29 2 = 841 -4 2 = 16 22 2 = 484 47 2 = 2209 -28 2 = 784 -3 2 = 9 23 2 = 529 48 2 = 2304 -27 2 = 729 -2 2 = 4 24 2 = 576 49 2 = 2401 -26 2 = 676 -1 2 = 1 25 2 = 625 50 2 = 2500

#### Powers of number 2

 2 -50 = 8.881784197E-16 2 -25 = 2.980232239E-8 2 1 = 2 2 26 = 67108864 2 -49 = 1.776356839E-15 2 -24 = 5.960464478E-8 2 2 = 4 2 27 = 134217728 2 -48 = 3.552713679E-15 2 -23 = 1.192092896E-7 2 3 = 8 2 28 = 268435456 2 -47 = 7.105427358E-15 2 -22 = 2.384185791E-7 2 4 = 16 2 29 = 536870912 2 -46 = 1.421085472E-14 2 -21 = 4.768371582E-7 2 5 = 32 2 30 = 1073741824 2 -45 = 2.842170943E-14 2 -20 = 9.536743164E-7 2 6 = 64 2 31 = 2147483648 2 -44 = 5.684341886E-14 2 -19 = 1.907348633E-6 2 7 = 128 2 32 = 4294967296 2 -43 = 1.136868377E-13 2 -18 = 3.814697266E-6 2 8 = 256 2 33 = 8589934592 2 -42 = 2.273736754E-13 2 -17 = 7.629394531E-6 2 9 = 512 2 34 = 1.717986918E+10 2 -41 = 4.547473509E-13 2 -16 = 1.525878906E-5 2 10 = 1024 2 35 = 3.435973837E+10 2 -40 = 9.094947018E-13 2 -15 = 3.051757813E-5 2 11 = 2048 2 36 = 6.871947674E+10 2 -39 = 1.818989404E-12 2 -14 = 6.103515625E-5 2 12 = 4096 2 37 = 1.374389535E+11 2 -38 = 3.637978807E-12 2 -13 = 0.000122070313 2 13 = 8192 2 38 = 2.748779069E+11 2 -37 = 7.275957614E-12 2 -12 = 0.000244140625 2 14 = 16384 2 39 = 5.497558139E+11 2 -36 = 1.455191523E-11 2 -11 = 0.00048828125 2 15 = 32768 2 40 = 1.099511628E+12 2 -35 = 2.910383046E-11 2 -10 = 0.0009765625 2 16 = 65536 2 41 = 2.199023256E+12 2 -34 = 5.820766091E-11 2 -9 = 0.001953125 2 17 = 131072 2 42 = 4.398046511E+12 2 -33 = 1.164153218E-10 2 -8 = 0.00390625 2 18 = 262144 2 43 = 8.796093022E+12 2 -32 = 2.328306437E-10 2 -7 = 0.0078125 2 19 = 524288 2 44 = 1.759218604E+13 2 -31 = 4.656612873E-10 2 -6 = 0.015625 2 20 = 1048576 2 45 = 3.518437209E+13 2 -30 = 9.313225746E-10 2 -5 = 0.03125 2 21 = 2097152 2 46 = 7.036874418E+13 2 -29 = 1.862645149E-9 2 -4 = 0.0625 2 22 = 4194304 2 47 = 1.407374884E+14 2 -28 = 3.725290298E-9 2 -3 = 0.125 2 23 = 8388608 2 48 = 2.814749767E+14 2 -27 = 7.450580597E-9 2 -2 = 0.25 2 24 = 16777216 2 49 = 5.629499534E+14 2 -26 = 1.490116119E-8 2 -1 = 0.5 2 25 = 33554432 2 50 = 1.125899907E+15