Question

if x^4 = 10 what is x^6? a) 10(square root 10) b) 100 c) 100(square root 10) d) 1000 e) 1000(square root 10)

Answer 1

$x^4=10\to x^2=\sqrt{10}\\\\x^6=(x^2)^3\\\\therefore\ x^6=(\sqrt{10})^3=(\sqrt{10})^2\cdot\sqrt{10}=10\sqrt{10}$

Answer: $\boxed{a)\ x^6=10\sqrt{10}}$