Question

Solve: (x?)7=x63\left(x^?\right)^{7}=x^{63}(x
?
)
7
=x
63

Answer 1

To solve the equation \((x^?)^{7} = x^{63}\), we will first use the properties of exponents.

Starting with the left side:
\[
(x^?)^{7} = x^{? \cdot 7}
\]

Now we can rewrite the equation:
\[
x^{? \cdot 7} = x^{63}
\]

Since the bases are the same (assuming \(x \neq 0\) and \(x \neq 1\)), we can set the exponents equal to each other:
\[
? \cdot 7 = 63
\]

To find the value of \(?\), we will divide both sides by 7:
\[
? = \frac{63}{7}
\]
\[
? = 9
\]

Thus, the solution is:
\[
? = 9
\]