Given that $x={{16}^{18}}$ and $y={{18}^{16}}$, without using a calculator, determine wheth

Question

Given that $x={{16}^{18}}$ and $y={{18}^{16}}$, without using a calculator, determine whether $x>y$, showing your working clearly. Arrange ${{3}^{312}}$, ${{6}^{234}}$ and ${{13}^{156}}$ in descending order. Given that ${{\left( {{x}^{2}}-x-1 \right)}^{x+2000}}=1$, find all the integer solutions.

Accepted Answer

(i) x > y, (ii) 6²³⁴, 13¹⁵⁶, 3³¹², (iii) x = -2000, -1, 0, 2

IP2U9 HOT Q4

IP2U9 HOT Q4

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