If $$x, y,$$ and $$n$$ are positive integers, is $$\left(\dfrac{x}{y}\right)^n$$ greater than $$1,000 ?$$

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If $$x, y,$$ and $$n$$ are positive integers, is $$\left(\dfrac{x}{y}\right)^n$$ greater than $$1,000 ?$$

by VJesus12 » Wed Feb 23, 2022 4:30 am

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If $$x, y,$$ and $$n$$ are positive integers, is $$\left(\dfrac{x}{y}\right)^n$$ greater than $$1,000 ?$$

(1) $$x=y^3$$ and $$n>y.$$

(2) $$x>5y$$ and $$n>x.$$