Answer Key 9.2

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

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