Answer the following questions related to powers with a negative base.

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Answer the following questions related to powers with a negative base. (i) Explain why, for the base

-3

, the equation

(-3)^{k}=(-3)^{2}

determines a unique integer value of

k

. (ii) Find this value of

k

and justify your answer. (iii) Using similar reasoning, solve

(-3)^{k-1}=(-3)^{4}

for

k