Question

How do you simplify `(4^-4)^-2` and write it using only positive exponents?

Answer 1

`4^8`

Explanation:

Recall one of the laws of indices..

`(x^m)^n = x^(mn)" "larr` a power to a power, multiply the indices

`(4^-4)^-2 = 4 ^(-4 xx-2)`

`=4^8`

As this is a really big number, this is a better form of the answer.