Question

(X^5×^-2)^2=64 what is the value of x

Answer 1

Answer

$\sf \blue{Given }\\ \\ \boxed{ \rm \: x^5×^{-2}=64}\\ \\ \\ \sf\blue{Solution} \\ (x5×x−2)2=64 \\ \\ (x {}^{5 - 2} ) {}^{2} = 2 {}^{6} \\ \\ (x5−2)2=26 \\ \\ x {}^{3 \times 2} = 2 {}^{6 } \\ \\ x { }^{6} = 2 {}^{6}x6=26 \\ \\ x = 2x=2 \\ \\ \bf{A/Q} \\ \\= > x {}^{4} \\ \\ = > 2 {}^{4} \\ \\ = > 16$