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Exponent calculator, math. Definition, meaning

Number to the power , 2² = 4

What is an exponent? Num^exp 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

Exponent calculator, math. Definition, meaning

Power of ten

Power of two

Set of numbers to the 2 power

Powers of number 2

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