x^-8=1/x^?

1 answer

To solve the equation \( x^{-8} = \frac{1}{x^?} \), we need to express the right side in a form that complements the left side.

We know that \( \frac{1}{x^n} \) can be written as \( x^{-n} \). Thus, we can rewrite the right side as:

\[ \frac{1}{x^?} = x^{-?} \]

Now, we can equate the exponents from both sides of the equation:

\[ -8 = -? \]

This implies:

\[ ? = 8 \]

So, the value of \( ? \) is \( 8 \). Therefore, the answer is:

\[ ? = 8 \]