Use Mathematical Induction to Prove the Given Statement for All $$\text { If } 0 < x < 1 \text {, then } x ^ { n } < x ^ { n - 1 } \text {. }$$

Short Answer

Use mathematical induction to prove the given statement for all positive integers n and real numbers x
and y.
- $$\text { If } 0 < x < 1 \text {, then } x ^ { n } < x ^ { n - 1 } \text {. }$$