Question

Find the value $x$ if $2^4\ast 2^5=(2^3{)}^x$

Answer 1

$2^4\times 2^5=(2^3{)}^x$

but $m^x\times m^y=m^{x+y}$

$\therefore 2^{4+5}=2^{3x}$

$\Rightarrow 2^9=2^{3x}\Rightarrow 3x=9\Rightarrow x=3$