book Maths Puzzle Numerical Ability

i need 81^7/4 power simplified

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Please help me solve the following problem. Reduce each expression to lowest terms.

4w^2 - 12w +36
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2w^3 + 54
Dealing with contradictions: If a, b, and c are nonzero real numbers such that a>0 and the equation ax^2+bx+c has no real solutions, then show that ax^2+bx+c<0 cannot be true for all values of x.