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Here are the degrees of prime numbers that are often used:
\(n\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) |
\(2\) | \(4\) | \(8\) | \(16\) | \(32\) | \(64\) | \(128\) | \(256\) | \(512\) | \(1024\) | |
\(3\) | \(9\) | \(27\) | \(81\) | \(243\) | \(729\) | - | - | - | - | |
\(5\) | \(25\) | \(125\) | \(625\) | - | - | - | - | - | - | |
\(7\) | \(49\) | \(343\) | - | - | - | - | - | - | - |
Example:
Calculate .
The first step is always exponentiation.
Substituting the found values, we obtain:
.
Consider examples of degrees with negative bases:
Important!
An even degree of a negative number is positive; an odd one is negative.