Question

Write an expression with a negitive exponent that has a value between 0 and 1/2

Answer 1

Explanation:

`a^(-n)=(1)/(a^n)\\\\\text{Therefore your answer:}\\\\3^(-1)=(1)/(3)<(1)/(2)\\\\4^(-1)=(1)/(4)<(1)/(2)\\\\5^(-1)=(1)/(5)<(1)/(2)\\\vdots\\2^(-2)=(1)/(2^2)=(1)/(4)<(1)/(2),\ (-2)^(-2)=(1)/((-2)^2)=(1)/(4)<(1)/(2)\\\\\\3^(-2)=(1)/(3^2)=(1)/(9)<(1)/(2),\ (-3)^(-2)=(1)/((-3)^2)=(1)/(9)<(1)/(2)\\\\4^(-2)=(1)/(4^2)=(1)/(16)<(1)/(2),\ (-4)^(-2)=(1)/((-4)^2)=(1)/(16)<(1)/(2)\\\vdots\\2^(-3)=(1)/(2^3)=(1)/(8)<(1)/(2)\\\vdots`