solve : (x^?)^2 = x^54

?=

1 answer

To solve the equation \((x^?)^2 = x^{54}\), we start by simplifying the left side of the equation.

Using the property of exponents \((a^m)^n = a^{mn}\), we can rewrite \((x^?)^2\) as:

\[ x^{2?} \]

Now our equation looks like this:

\[ x^{2?} = x^{54} \]

Since the bases are the same, we can set the exponents equal to one another:

\[ 2? = 54 \]

To solve for \(?\), we divide both sides by 2:

\[ ? = \frac{54}{2} = 27 \]

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

\[ \boxed{27} \]