Question

If ( x^ 5 * x ^ -2 ) ^ 2 = 64 what is the value of x^4​

Answer 1

Answer:

$(x {3})^{2} = 64 \\ x {3} = 8 \\ x = 2 \\ x {4} = 2^{4} = 16$

Step-by-step explanation:

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Answer 2

Answer:

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