Question

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

${12}^3$

Short answer

12 raised to the power 3.

Value of given expression is $1728$.

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

${12}^3$

In given expression, 12 is the base & 3 is the exponent.

So, it is written as 12 raised to the power 3.

On simplifying, it gives,

$\begin{array}{c}{12}^3=12\times 12\times 12\\ {12}^3=144\times 12\\ {12}^3=1728\end{array}$

Step-3-Conclusion

Therefore, the value of given expression is $1728$.