Question

Find the value of:

$$\begin{gathered} \left(i\right)2^6 \\ \left(ii\right)9^3 \\ \left(iii\right){11}^2 \\ \left(iv\right)5^4 \end{gathered}$$

Answer 1

Solve for the required values

(i) $2^6$

We know that $a^n=a\times a\times a\times .........(ntimes)$

$\begin{array}{rcl}\therefore 2^6& =& 2\times 2\times 2\times 2\times 2\times 2=64\end{array}$

(ii) $9^3$

We know that $a^n=a\times a\times a\times .........(ntimes)$

$\begin{array}{rcl}\therefore 9^3& =& 9\times 9\times 9=729\end{array}$

(iii) ${\left(11\right)}^2$

We know that $a^n=a\times a\times a\times .........(ntimes)$

$\begin{array}{rcl}\therefore {\left(11\right)}^2& =& 11\times 11=121\end{array}$

(iv) $5^4$

We know that $a^n=a\times a\times a\times .........(ntimes)$

$\begin{array}{rcl}\therefore 5^4& =& 5\times 5\times 5\times 5=625\end{array}$

Hence the values are

(i) $2^6=64$

(ii) $9^3=729$

(iii) ${\left(11\right)}^2=121$

(iv) $5^4=625$