Let ^ be the operation x^y = $\displaystyle x^y$ defined onN.

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.