\( \left\{\begin{array}{l}\frac{x^{4}}{a}+\frac{y^{4}}{b}=\frac{1}{a+b} \\ \text { and } x^{2}+y^{2}=1 \\ \text { show that } b x^{2}=a y^{2}\end{array}\right. \)

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

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

5. \( \left(16 x^{2}\right)^{-1} \)

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

uisl 3 a) \( x^{2}-12=0 \) b) \( 4 x^{2}-7 x=0 \) c) \( 6 x+12 x^{2}=0 \)