(x^3)?=x^-51

? =

1 answer

To solve the equation \( (x^3)? = x^{-51} \), we want to determine what \( ? \) should be in order for the equation to hold true.

First, we can rewrite the left side of the equation to clarify the relationship:

\[ x^{3?} = x^{-51} \]

Since the bases are the same, we can set the exponents equal to each other:

\[ 3? = -51 \]

Now, to find \( ? \), we divide both sides by 3:

\[ ? = \frac{-51}{3} = -17 \]

Thus, the value of \( ? \) is:

\[ \boxed{-17} \]