Answer Key 9.2

[latexpage]

1. 4
2. −5
3. \(\sqrt[3]{5\cdot 125}\)
   \(5\sqrt[3]{5}\)
4. \(\sqrt[3]{2\cdot 125}\)
   \(5\sqrt[3]{2}\)
5. \(\sqrt[3]{3\cdot 64}\)
   \(4\sqrt[3]{3}\)
6. \(\sqrt[3]{3\cdot 8}\)
   \(-2\sqrt[3]{3}\)
7. \(-4\sqrt[4]{6\cdot 16}\)
   \(-4\cdot 2\sqrt[4]{6}\)
   \(\pm 8\sqrt[4]{6}\)
8. \(-8\sqrt[4]{3\cdot 16}\)
   \(-8\cdot 2\sqrt[4]{3}\)
   \(\pm 16\sqrt[4]{3}\)
9. \(6\cdot \sqrt[4]{7\cdot 16}\)
   \(6\cdot 2\sqrt[4]{7}\)
   \(\pm 12 \sqrt[4]{7}\)
10. \(5\cdot \sqrt[4]{3\cdot 81}\)
    \(5\cdot 3\sqrt[4]{3}\)
    \(\pm 15\sqrt[4]{3}\)
11. \(6\sqrt[4]{8\cdot 81\cdot x^4\cdot x\cdot y^4\cdot y^3\cdot z^2}\)
    \(6\cdot 3\cdot x\cdot y\sqrt[4]{8xy^3z^2}\)
    \(\pm 18xy\sqrt[4]{8xy^3z^2}\)
12. \(-6\sqrt[4]{5\cdot 81\cdot a^4\cdot a\cdot b^8\cdot c}\)
    \(-6\cdot 3\cdot a\cdot b^2\sqrt[4]{5ac}\)
    \(\pm 18ab^2\sqrt[4]{5ac}\)
13. \(\sqrt[5]{7\cdot 32\cdot n^3\cdot p^2\cdot p^5\cdot q^5}\)
    \(2pq \sqrt[5]{7n^3p^2}\)
14. \(\sqrt[5]{3\cdot -32\cdot x^3\cdot y^5\cdot y\cdot z^5}\)
    \(-2yz \sqrt[5]{3x^3y}\)
15. \(\sqrt[5]{7\cdot 32\cdot p^5\cdot q^{10}\cdot r^{15}}\)
    \(2pq^2r^3 \sqrt[5]{7}\)
16. \(\sqrt[6]{4\cdot 64\cdot x^6\cdot y^6\cdot z^6\cdot z}\)
    \(\pm 2xyz \sqrt[6]{4z}\)
17. \(-3 \sqrt[7]{7\cdot 128\cdot r\cdot s^7\cdot t^{14}}\)
    \(-3\cdot 2\cdot s\cdot t^2 \sqrt[7]{7r}\)
    \(-6st^2\sqrt[7]{7r}\)
18. \(-8 \sqrt[7]{3\cdot 128\cdot b^7\cdot b\cdot c^7\cdot d^6}\)
    \(-8\cdot 2\cdot b\cdot c \sqrt[7]{3bd^6}\)
    \(-16bc \sqrt[7]{3bd^6}\)