Question

if(x^5×x^-2)^2=64 what is the value of x^-4?​

Answer 1

Answer:

x^-4 = 1/16 or 0.0625

Step-by-step explanation:

Solving the bracket first ,

x^5 * x^-2 = x^3      (5 - 2 = 3 )

Now,

(x^3)^2= x^6

x^6 = 64

x = 2                        (2^6 = 64 )

So,

x^-4 can be written as 1/x^4

Hence ,

By substituting x by 2 , we get ,

1/2^4 = 1/16 or 0.0625

Answer 2

Answer

Answer

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