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In the expression $a^x$,a is the base and x is the exponent.

The power is the result of repeated multiplication of the same factor.

The expression $a^x$impliesthat a has been used as factor x times.

For example, write the product $5鈥�路鈥�5鈥�路5鈥�路鈥�5$in exponent form.

In this example, factor 5 is multiplied 4 times.

So, the repeated multiplication $5鈥�路鈥�5鈥�路5鈥�路鈥�5$ can be expressed in exponent form as $5^4$.

Observe that in the given power, the base 0.2 has an exponent 5 over it.

So, in words it can be expressed as 鈥�0.2 raised to the fifth power鈥�.

Observe that in the given power, the base 0.2 has an exponent 5 over it.

So, the factor 0.2 is multiplied to itself five times. That is,

${\left(0.2\right)}^5=\left(0.2\right)路\left(0.2\right)路\left(0.2\right)路\left(0.2\right)路\left(0.2\right)$

Thus, the power in repeated multiplication is ${\left(0.2\right)}^5=\left(0.2\right)路\left(0.2\right)路\left(0.2\right)路\left(0.2\right)路\left(0.2\right)$.

To evaluate the power, write it in the form of repeated multiplication and multiply the factors from left to right as shown below

$\begin{array}{c}{\left(0.2\right)}^5=\left(0.2\right)鈰�\left(0.2\right)鈰�\left(0.2\right)鈰�\left(0.2\right)鈰�\left(0.2\right)\\ =0.00032\end{array}$

Thus, the value of the power is 0.00032.