Question

Write the power in words and as a repeated multiplication. Then evaluate the power.

${\left(5\right)}^4$

Short answer

5 raised to the power 4.

Value of given expression is $625$.

Repeated multiplication is $5\times 5\times 5\times 5$.

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

${\left(5\right)}^4$

In given expression, 5 is the base & 4 is the exponent.

So, it is written as 5 raised to the power 4.

Repeated multiplication is $5\times 5\times 5\times 5$.

On simplifying, we get, .

$\begin{array}{c}{\left(5\right)}^4=5\times 5\times 5\times 5\\ {\left(5\right)}^4=25\times 25\\ {\left(5\right)}^4=625\end{array}$

Step-3-Conclusion

Therefore, the value of given expression is $625$.