UPSKILL MATH PLUS

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### 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:

$a·a·a·\mathrm{...}·a$ $$=$$ ${a}^{n}$.

$$a$$ 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: ${x}^{3}=x×x×x$.
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: ${5}^{4}=5×5×5×5$

Where,

${5}^{4}=5×5×5×5$ or ${5}^{4}$ = 625
Example:
$\begin{array}{l}{5}^{1}=5\\ {5}^{2}=3·3=25\\ {5}^{3}=5·5·5=125\\ {5}^{4}=5·5·5·5=625\\ {5}^{5}=5·5·5·5·5=3125\end{array}$