Let ^ be the operation x^y = $\displaystyle x^y$ defined on N.
a. Does ^ distridute over $\displaystyle \cdot$ from the left?
b. Does ^ distridute over $\displaystyle \cdot$ from the right?
c. Investigate whether $\displaystyle \cdot$ distributes over ^ from the left.
d. Investigate whether $\displaystyle \cdot$ distributes over ^ from the right.