UPSKILL MATH PLUS

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Learn more### Theory:

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:

$a\xb7a\xb7a\xb7\mathrm{...}\xb7a$ \(=\) ${a}^{n}$.

\(a\) 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 ${x}^{3}$. Here, the base is \(x\), and the exponent is \(3\). It means that \(x\) is being multiplied by itself \(3\) times: ${x}^{3}=x\times x\times x$.

For example, “5 to the power 4” may be written as ${5}^{4}$. Here, the base number is \(5\), and the exponent is \(4\). It means that \(5\) is being multiplied by itself \(4\) times: ${5}^{4}=5\times 5\times 5\times 5$

Where,

${5}^{4}=5\times 5\times 5\times 5$ or ${5}^{4}$ = 625

Example:

$\begin{array}{l}{5}^{1}=5\\ {5}^{2}=3\xb73=25\\ {5}^{3}=5\xb75\xb75=125\\ {5}^{4}=5\xb75\xb75\xb75=625\\ {5}^{5}=5\xb75\xb75\xb75\xb75=3125\end{array}$