Question
X to the question power divided by X to the sixth power equals X to the 18th power what is the?
Answers
GPT-4o mini
To solve the equation \( \frac{X^n}{X^6} = X^{18} \), where \( n \) is the unknown exponent you're looking for, we can use the properties of exponents.
1. **Simplify the left-hand side**:
\[
\frac{X^n}{X^6} = X^{n-6}
\]
2. **Set the simplified expression equal to the right-hand side**:
\[
X^{n-6} = X^{18}
\]
3. **Since the bases are the same, we can set the exponents equal to each other**:
\[
n - 6 = 18
\]
4. **Solve for \( n \)**:
\[
n = 18 + 6 = 24
\]
Thus, the value of \( n \) is \( 24 \).
So, your answer is \( n = 24 \).
1. **Simplify the left-hand side**:
\[
\frac{X^n}{X^6} = X^{n-6}
\]
2. **Set the simplified expression equal to the right-hand side**:
\[
X^{n-6} = X^{18}
\]
3. **Since the bases are the same, we can set the exponents equal to each other**:
\[
n - 6 = 18
\]
4. **Solve for \( n \)**:
\[
n = 18 + 6 = 24
\]
Thus, the value of \( n \) is \( 24 \).
So, your answer is \( n = 24 \).