Find the solution to the following equation. \[ \begin{array}{l}2^{3 x}=8^{1-x} \\ x=\frac{4}{7} \\ x=\frac{3}{2} \\ x=\frac{7}{4}\end{array} \]

Enter the correct answer in the box. Rewrite the expression \( 2 \sqrt[4]{x^{7}} \) using rational exponents. \( \begin{array}{lll}\frac{\square}{\square} & \text { (ㅁ) } \mid \text { 미 } \square^{\square} \mid+--\end{array} \)

1. Найдите т \( y=x^{3}-48 x+14 \)

Which expressions are equivalent to the given expression? \( 5 \log _{10} x+\log _{10} 20-\log _{10} 10 \)

Encuentra el resultado utilizando la propiedad de potencias: \( (a^{2b})^{3} \)

Find the value of \( m \) if \( \alpha+\beta=-2 \). (b) Seterusnya, bentukkan persamaan kuadratik dengan punca-punca \( \alpha \) dan \( \beta \). Hence, form a quadratic equation with roots \( \alpha \) and \( \beta \).