Question

Write the power ¡n words and as a repeated multiplication. Then evaluate the power. $\left(p.10\right)$

${\left(0.2\right)}^2$

Short answer

0.2 raised to the power 2.

Value of given expression is $0.04$.

Repeated multiplication is $0.2\times 0.2$.

Step-by-step solution

Step-1- Concept of exponents and power

Consider the expression, $x^y$.

The expression can be written in word as “x raised to the power y”. Here, x is the base and, y is the exponent.

Step-2-Evaluating given expression

${\left(0.2\right)}^2$

In given expression, 0.2 is the base & 2 is the exponent.

So, it is written as 0.2 raised to the power 2.

Repeated multiplication is $0.2\times 0.2$.

On simplifying, it gives,

$\begin{array}{c}{(0.2)}^2=0.2\times 0.2\\ {(0.2)}^2=0.04\end{array}$

Step-3-Conclusion

Therefore, the value of given expression is $0.04$.