Question

Which expression represents x^24 ?
x^4 x x^6
x^12 x x^12
x^5 x x^-7
(x^3)^4

Answer 1

To determine which expression represents \( x^{24} \), we can simplify each option:

1. **\( x^4 \cdot x \cdot x^6 \)**:
\[
x^4 \cdot x^1 \cdot x^6 = x^{4+1+6} = x^{11}
\]

2. **\( x^{12} \cdot x \cdot x^{12} \)**:
\[
x^{12} \cdot x^1 \cdot x^{12} = x^{12+1+12} = x^{25}
\]

3. **\( x^5 \cdot x \cdot x^{-7} \)**:
\[
x^5 \cdot x^1 \cdot x^{-7} = x^{5+1-7} = x^{-1}
\]

4. **\( (x^3)^4 \)**:
\[
(x^3)^4 = x^{3 \cdot 4} = x^{12}
\]

After evaluating all options, none of them simplify to \( x^{24} \). Therefore, none of the provided expressions represent \( x^{24} \).