Solve the Problem $( 1.01 ) ^ { 5 } = \left( 1 + 10 ^ { - 2 } \right) ^ { 5 }$

Short Answer

Solve the problem.
-Use the Binomial Theorem to approximate $( 1.01 ) ^ { 5 } = \left( 1 + 10 ^ { - 2 } \right) ^ { 5 }$ to 7 decimal places.