x^6/x^?=x^4 solve for ?

1 answer

To solve the equation \( \frac{x^6}{x^?} = x^4 \), we can use the properties of exponents.

Recall that when dividing like bases, we subtract the exponents:

\[ \frac{x^a}{x^b} = x^{a-b} \]

Applying this to our equation:

\[ \frac{x^6}{x^?} = x^{6-?} \]

So we can rewrite the equation as:

\[ x^{6-?} = x^4 \]

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

\[ 6 - ? = 4 \]

Now, solve for \( ? \):

\[ 6 - 4 = ? \] \[ ? = 2 \]

Thus, the value of \( ? \) is \( \boxed{2} \).