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

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Answer 1 · 2017-11-13T05:22:25

$0.01591$ $0.01591$ , or $64^{- 0.9957}$ $64^-0.9957$

First, simplify the top of the exponent: $- 8^{- 3}$ $-8^-3$ . This gives us $- \frac{1}{512}$ $-1/512$ , or $- 0.00195$ $-0.00195$ .

Now we have to to the next step, $- 9^{- \frac{1}{512}}$ $-9^(-1/512)$ or $- 9^{- 0.00195}$ $-9^-0.00195$ .

The answer to that is $- \frac{1}{\sqrt[512]{9}}$ $-1/root(512)(9)$ , or $- 0.9957$ $-0.9957$ .

So now our equation is $64^{\frac{1}{\sqrt[512]{- 9}}}$ $64^(1/root(512)(-9))$ , or $64^{- 0.9957}$ $64^-0.9957$ .

This translates to $0.01591$ $0.01591$ .

How do you simplify 64−9−8−364^ { - 9^ { - 8^ { - 3} }?