Stolen problem from Dinda :D Without calculator, find 8^(-x)+8^x if you are given that 4^x+4^(-x)=7

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Stolen problem from Dinda :D Without calculator, find 8^(-x)+8^x if you are given that 4^x+4^(-x)=7

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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2^(2x)+2^(-2x)=7 (2^x+2^-x)^2=9 2^x+2^-x=3; let a=2^x a+1/a=3 (a+1/a)^3=27 a^3+1/a^3+3(a+1/a)=27 a^3+1/a^3=18 but a^3=8^x. so ans is 18
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if u have any more prob. u can post it....i'll try

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Ok, I'll repost my old problem that has no answer
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