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Unlock the power of exponents with our user-friendly online calculator. Whether you're delving into scientific research, tackling homework, or just curious, our tool simplifies complex exponent calculations. Discover how base numbers raised to certain powers can unlock answers across various fields.
Exponentiation is a mathematical operation, involving two numbers: the base (a) and the exponent (n). It's represented as \(a^n\), where \(a\) is multiplied by itself \(n\) times. This operation is foundational in mathematics, physics, engineering, and computer science, showcasing how quantities scale exponentially across scenarios.
The calculation for exponents follows the simple formula:
\[ a^n = a \times a \times \ldots \times a \ (n \ times) \]
Where \(a\) is the base and \(n\) is the exponent.
Let's calculate \(2^3\):
\[ 2^3 = 2 \times 2 \times 2 = 8 \]
How can you calculate exponents?
- Multiply the base by itself as many times as the exponent indicates. Our calculator simplifies this, offering quick and accurate results.
What is \(7^2\)?
- \(7^2 = 49\). It represents the number 7 multiplied by itself once (\(7 \times 7\)).
What does \(1.07^{30}\) represent?
- This calculation might represent the growth of an investment over 30 years with an annual interest rate of 7%.
What are the 7 laws of exponents?
- These rules help simplify expressions involving powers. They cover product, quotient, power of a power, and more, streamlining calculations and solving.
What is \(2^{11}\)?
- \(2^{11} = 2048\). It’s pivotal in computing, representing a basic memory size.
What is zero exponent?
- Any non-zero number raised to the power of zero equals 1, reflecting the empty product principle in mathematics.
a Power of n
a X a X a X..... X n
Where “a” is base and “n” is exponent value.
| 1n | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
|---|---|---|---|---|---|---|---|---|---|---|
| 2n | 2 | 4 | 8 | 16 | 32 | 64 | 128 | 256 | 512 | 1024 |
| 3n | 3 | 9 | 27 | 81 | 243 | 729 | 2187 | 6561 | 19683 | 59049 |
| 4n | 4 | 16 | 64 | 256 | 1024 | 4096 | 16384 | 65536 | 262144 | 1048576 |
| 5n | 5 | 25 | 125 | 625 | 3125 | 15625 | 78125 | 390625 | 1953125 | 9765625 |
| 6n | 6 | 36 | 216 | 1296 | 7776 | 46656 | 279936 | 1679616 | 10077696 | 60466176 |
| 7n | 7 | 49 | 343 | 2401 | 16807 | 117649 | 823543 | 5764801 | 40353607 | 282475249 |
| 8n | 8 | 64 | 512 | 4096 | 32768 | 262144 | 2097152 | 16777216 | 134217728 | 1073741824 |
| 9n | 9 | 81 | 729 | 6561 | 59049 | 531441 | 4782969 | 43046721 | 387420489 | 3486784401 |
| 10n | 10 | 100 | 1000 | 10000 | 100000 | 1000000 | 10000000 | 100000000 | 1000000000 | 10000000000 |
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11=1 12=1 13=1 14=1 15=1 16=1 17=1 18=1 19=1 110=1 |
21=2 22=4 23=8 24=16 25=32 26=64 27=128 28=256 29=512 210=1024 |
31=3 32=9 33=27 34=81 35=243 36=729 37=2187 38=6561 39=19683 310=59049 |
41=4 42=16 43=64 44=256 45=1024 46=4096 47=16384 48=65536 49=262144 410=1048576 |
51=5 52=25 53=125 54=625 55=3125 56=15625 57=78125 58=390625 59=1953125 510=9765625 |
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61=6 62=36 63=216 64=1296 65=7776 66=46656 67=279936 68=1679616 69=10077696 610=60466176 |
71=7 72=49 73=343 74=2401 75=16807 76=117649 77=823543 78=5764801 79=40353607 710=282475249 |
81=8 82=64 83=512 84=4096 85=32768 86=262144 87=2097152 88=16777216 89=134217728 810=1073741824 |
91=9 92=81 93=729 94=6561 95=59049 96=531441 97=4782969 98=43046721 99=387420489 910=3486784401 |
101=10 102=100 103=1000 104=10000 105=100000 106=1000000 107=10000000 108=100000000 109=1000000000 1010=10000000000 |