1. ¿Qué base debe tener un sistema de nume- ración para que la representación del núme ro 117 en dicho sistema sea 427 ?

f) \( \sqrt[8]{3^{32}} \)

Sav \( \begin{array}{l}\frac{9 \sqrt{2}}{\sqrt{3}}\end{array} \) \( \begin{array}{l}\text { The answer is } \square . \\ \text { (Simplify your answer. Type an exact answer, } 0 \text { of } 1 \\ \text { using radicals as needed. Use integers or } \\ \text { fractions for any numbers in the expression.) }\end{array} \)

j) \( \sqrt{9^{2}+12^{2}}+(-3)^{2}-(-1+2+3)^{3}-\sqrt[3]{-125}= \)

3). \( 9 \sqrt{12}+5 \sqrt{32}-\sqrt{72} \)

Simplify the expression. \( \frac{2(5-4)^{3}-5 \cdot 9+7 \cdot 8}{9^{2}+8^{3}} \) \( \frac{2(5-4)^{3}-5 \cdot 9+7 \cdot 8}{9^{2}+8^{3}}=0.021922 \) (Round to the nearest thousandth.)