Question

Simplify the following using laws of expressions
$(2^3{)}^2\times 2^8$

Answer 1

We have,

$\begin{array}{c}{\left(2^3\right)}^2\times 2^8\\ {\left(2^3\right)}^2=2^6\\ =2^8\times 2^6\end{array}$

We know that,

$\begin{array}{c}{a}^b\times a^c=a^{b+c}\\ 2^8\times 2^6=2^{6+8}=2^{14}\\ =2^{14}\\ 2^{14}=16384\\ =16384\end{array}$

Then,

We get $16384$.