How to evaluate the expression (7^-3)^-7 (7^-2 7^4)^5

So we have

(7^-3)^-7 (7^-2 7⁴)⁵

Simplifying the expression inside the second parentheses by using the exponential property,  a^m * aⁿ = a^(m+n),  we have

(7^-3)^-7 (7²)⁵  

Remember, by another property of exponents,  (a^m)ⁿ = a ^(m*n)

So we have

(7)²¹ (7)¹⁰

And by the first property we have

7³¹  ........which is a REALLY "big" number !!

Mea culpa.  Hmm! Seems we can't delete posts!

Hi Alan,

I think Andre removed the delete post function because I had a post on my watch list that was subsequently deleted and it sent the program into a major flap!  I was locked out for 24 hours until Andre diagnosed the problem.