Iterative Approach

Convert main problem into another problem which gives the same result.

Problem shifts from

be	=	b × b × b × ... × b
		⇑
		e times

to

be	=	A ×	b × b × b × ... × b
			⇑
			e times

where A = 1.

Then

be	=	A ×	b × b × b × ... × b
			⇑
			e-1 times

where A = b.

Then

be	=	A ×	b × b × b × ... × b
			⇑
			e-2 times

where A = b × b.

Until A has accumulated the entire product.