Simplify the expression.

Question

1/8^-4
​(Type an expression with a positive​ exponent.)

Answer 1

To simplify the expression \(\frac{1}{8^{-4}}\), we can use the property of exponents that states \(a^{-n} = \frac{1}{a^{n}}\).

Thus, we can rewrite \(8^{-4}\) as \(\frac{1}{8^{4}}\):

\[ \frac{1}{8^{-4}} = 8^{4} \]

Now, we calculate \(8^{4}\):

\[ 8^{4} = (2^3)^{4} = 2^{12} = 4096 \]

So, the simplified expression with a positive exponent is:

\[ 8^4 \text{ or } 4096 \]