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An exponent is a small number written above and to the right of the base number, tells how many times the base number is being multiplied.
The base a raised to the power of n is equal to the multiplication of a, n times:
a ·a ·a ·... ·a \(=\) an.
\(a\) is the base and \(n\) is the exponent.
Powers in an algebraic expression:
In an algebraic expression, we normally use the “\(x\) to the power \(3\)” that is x3. Here, the base is \(x\), and the exponent is \(3\). It means that \(x\) is being multiplied by itself \(3\) times: x3=x×x×x.
For example, “5 to the power 4” may be written as 54. Here, the base number is \(5\), and the exponent is \(4\). It means that \(5\) is being multiplied by itself \(4\) times: 54=5×5×5×5
54=5×5×5×5 or 54 = 625
51=552=3 ·3=2553=5 ·5 ·5=12554=5 ·5 ·5 ·5=62555=5 ·5 ·5 ·5 ·5=3125