Question

How do you simplify `64^ { - 9^ { - 8^ { - 3} }`?

Answer 1

`0.01591`, or `64^-0.9957`

Explanation:

First, simplify the top of the exponent: `-8^-3`. This gives us `-1/512`, or `-0.00195`.

Now we have to to the next step, `-9^(-1/512)` or `-9^-0.00195`.

The answer to that is `-1/root(512)(9)`, or `-0.9957`.

So now our equation is `64^(1/root(512)(-9))`, or `64^-0.9957`.

This translates to `0.01591`.