{"id":258,"date":"2015-09-18T20:21:43","date_gmt":"2015-09-18T20:21:43","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=258"},"modified":"2015-11-02T23:57:49","modified_gmt":"2015-11-02T23:57:49","slug":"solutions-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/odessa-collegealgebra\/chapter\/solutions-2\/","title":{"raw":"Solutions","rendered":"Solutions"},"content":{"raw":"

Solutions to Try Its<\/h2>\r\n1.\u00a0a. [latex]{k}^{15}[\/latex]\r\nb. [latex]{\\left(\\frac{2}{y}\\right)}^{5}[\/latex]\r\nc. [latex]{t}^{14}[\/latex]\r\n\r\n2. a.\u00a0[latex]{s}^{7}[\/latex]\r\nb. [latex]{\\left(-3\\right)}^{5}[\/latex]\r\nc. [latex]{\\left(e{f}^{2}\\right)}^{2}[\/latex]\r\n\r\n3.\u00a0a. [latex]{\\left(3y\\right)}^{24}[\/latex]\r\nb. [latex]{t}^{35}[\/latex]\r\nc. [latex]{\\left(-g\\right)}^{16}[\/latex]\r\n\r\n4. a.\u00a0[latex]1[\/latex]\r\nb. [latex]\\frac{1}{2}[\/latex]\r\nc. [latex]1[\/latex]\r\nd. [latex]1[\/latex]\r\n\r\n5.\u00a0a. [latex]\\frac{1}{{\\left(-3t\\right)}^{6}}[\/latex]\r\nb. [latex]\\frac{1}{{f}^{3}}[\/latex]\r\nc. [latex]\\frac{2}{5{k}^{3}}[\/latex]\r\n\r\n6. a.\u00a0[latex]{t}^{-5}=\\frac{1}{{t}^{5}}[\/latex]\r\nb. [latex]\\frac{1}{25}[\/latex]\r\n\r\n7.\u00a0a. [latex]{g}^{10}{h}^{15}[\/latex]\r\nb. [latex]125{t}^{3}[\/latex]\r\nc. [latex]-27{y}^{15}[\/latex]\r\nd. [latex]\\frac{1}{{a}^{18}{b}^{21}}[\/latex]\r\ne. [latex]\\frac{{r}^{12}}{{s}^{8}}[\/latex]\r\n\r\n8.\u00a0a. [latex]\\frac{{b}^{15}}{{c}^{3}}[\/latex]\r\nb. [latex]\\frac{625}{{u}^{32}}[\/latex]\r\nc. [latex]\\frac{-1}{{w}^{105}}[\/latex]\r\nd. [latex]\\frac{{q}^{24}}{{p}^{32}}[\/latex]\r\ne. [latex]\\frac{1}{{c}^{20}{d}^{12}}[\/latex]\r\n\r\n9.\u00a0a. [latex]\\frac{{v}^{6}}{8{u}^{3}}[\/latex]\r\nb. [latex]\\frac{1}{{x}^{3}}[\/latex]\r\nc. [latex]\\frac{{e}^{4}}{{f}^{4}}[\/latex]\r\nd. [latex]\\frac{27r}{s}[\/latex]\r\ne. [latex]1[\/latex]\r\nf. [latex]\\frac{16{h}^{10}}{49}[\/latex]\r\n\r\n10.\u00a0a. [latex]$1.52\\times {10}^{5}[\/latex]\r\nb. [latex]7.158\\times {10}^{9}[\/latex]\r\nc. [latex]$8.55\\times {10}^{13}[\/latex]\r\nd. [latex]3.34\\times {10}^{-9}[\/latex]\r\ne. [latex]7.15\\times {10}^{-8}[\/latex]\r\n\r\n11.\u00a0a. [latex]703,000[\/latex]\r\nb. [latex]-816,000,000,000[\/latex]\r\nc. [latex]-0.00000000000039[\/latex]\r\nd. [latex]0.000008[\/latex]\r\n\r\n12.\u00a0a. [latex]-8.475\\times {10}^{6}[\/latex]\r\nb. [latex]8\\times {10}^{-8}[\/latex]\r\nc. [latex]2.976\\times {10}^{13}[\/latex]\r\nd. [latex]-4.3\\times {10}^{6}[\/latex]\r\ne. [latex]\\approx 1.24\\times {10}^{15}[\/latex]\r\n\r\n13.\u00a0Number of cells: [latex]3\\times {10}^{13}[\/latex]; length of a cell: [latex]8\\times {10}^{-6}[\/latex] m; total length: [latex]2.4\\times {10}^{8}[\/latex] m or [latex]240,000,000[\/latex] m.\r\n

Solutions to Odd-Numbered Exercises<\/h2>\r\n1.\u00a0No, the two expressions are not the same. An exponent tells how many times you multiply the base. So [latex]{2}^{3}[\/latex] is the same as [latex]2\\times 2\\times 2[\/latex], which is 8. [latex]{3}^{2}[\/latex] is the same as [latex]3\\times 3[\/latex], which is 9.\r\n\r\n3.\u00a0It is a method of writing very small and very large numbers.\r\n\r\n5.\u00a081\r\n\r\n7.\u00a0243\r\n\r\n9.\u00a0[latex]\\frac{1}{16}[\/latex]\r\n\r\n11.\u00a0[latex]\\frac{1}{11}[\/latex]\r\n\r\n13.\u00a01\r\n\r\n15.\u00a0[latex]{4}^{9}[\/latex]\r\n\r\n17.\u00a0[latex]{12}^{40}[\/latex]\r\n\r\n19.\u00a0[latex]\\frac{1}{{7}^{9}}[\/latex]\r\n\r\n21.\u00a0[latex]3.14\\times {10}^{-5}[\/latex]\r\n\r\n23.\u00a016,000,000,000\r\n\r\n25.\u00a0[latex]{a}^{4}[\/latex]\r\n\r\n27.\u00a0[latex]{b}^{6}{c}^{8}[\/latex]\r\n\r\n29.\u00a0[latex]a{b}^{2}{d}^{3}\\\\[\/latex]\r\n\r\n31.\u00a0[latex]{m}^{4}[\/latex]\r\n\r\n33.\u00a0[latex]\\frac{{q}^{5}}{{p}^{6}}[\/latex]\r\n\r\n35.\u00a0[latex]\\frac{{y}^{21}}{{x}^{14}}[\/latex]\r\n\r\n37.\u00a0[latex]25[\/latex]\r\n\r\n39.\u00a0[latex]72{a}^{2}[\/latex]\r\n\r\n41.\u00a0[latex]\\frac{{c}^{3}}{{b}^{9}}[\/latex]\r\n\r\n43.\u00a0[latex]\\frac{y}{81{z}^{6}}[\/latex]\r\n\r\n45.\u00a00.00135 m\r\n\r\n47.\u00a0[latex]1.0995\\times {10}^{12}[\/latex]\r\n\r\n49.\u00a00.00000000003397 in.\r\n\r\n51.\u00a012,230,590,464 [latex]{m}^{66}[\/latex]\r\n\r\n53.\u00a0[latex]\\frac{{a}^{14}}{1296}[\/latex]\r\n\r\n55.\u00a0[latex]\\frac{n}{{a}^{9}c}[\/latex]\r\n\r\n57.\u00a0[latex]\\frac{1}{{a}^{6}{b}^{6}{c}^{6}}[\/latex]\r\n\r\n59.\u00a00.000000000000000000000000000000000662606957","rendered":"

Solutions to Try Its<\/h2>\n

1.\u00a0a. [latex]{k}^{15}[\/latex]
\nb. [latex]{\\left(\\frac{2}{y}\\right)}^{5}[\/latex]
\nc. [latex]{t}^{14}[\/latex]<\/p>\n

2. a.\u00a0[latex]{s}^{7}[\/latex]
\nb. [latex]{\\left(-3\\right)}^{5}[\/latex]
\nc. [latex]{\\left(e{f}^{2}\\right)}^{2}[\/latex]<\/p>\n

3.\u00a0a. [latex]{\\left(3y\\right)}^{24}[\/latex]
\nb. [latex]{t}^{35}[\/latex]
\nc. [latex]{\\left(-g\\right)}^{16}[\/latex]<\/p>\n

4. a.\u00a0[latex]1[\/latex]
\nb. [latex]\\frac{1}{2}[\/latex]
\nc. [latex]1[\/latex]
\nd. [latex]1[\/latex]<\/p>\n

5.\u00a0a. [latex]\\frac{1}{{\\left(-3t\\right)}^{6}}[\/latex]
\nb. [latex]\\frac{1}{{f}^{3}}[\/latex]
\nc. [latex]\\frac{2}{5{k}^{3}}[\/latex]<\/p>\n

6. a.\u00a0[latex]{t}^{-5}=\\frac{1}{{t}^{5}}[\/latex]
\nb. [latex]\\frac{1}{25}[\/latex]<\/p>\n

7.\u00a0a. [latex]{g}^{10}{h}^{15}[\/latex]
\nb. [latex]125{t}^{3}[\/latex]
\nc. [latex]-27{y}^{15}[\/latex]
\nd. [latex]\\frac{1}{{a}^{18}{b}^{21}}[\/latex]
\ne. [latex]\\frac{{r}^{12}}{{s}^{8}}[\/latex]<\/p>\n

8.\u00a0a. [latex]\\frac{{b}^{15}}{{c}^{3}}[\/latex]
\nb. [latex]\\frac{625}{{u}^{32}}[\/latex]
\nc. [latex]\\frac{-1}{{w}^{105}}[\/latex]
\nd. [latex]\\frac{{q}^{24}}{{p}^{32}}[\/latex]
\ne. [latex]\\frac{1}{{c}^{20}{d}^{12}}[\/latex]<\/p>\n

9.\u00a0a. [latex]\\frac{{v}^{6}}{8{u}^{3}}[\/latex]
\nb. [latex]\\frac{1}{{x}^{3}}[\/latex]
\nc. [latex]\\frac{{e}^{4}}{{f}^{4}}[\/latex]
\nd. [latex]\\frac{27r}{s}[\/latex]
\ne. [latex]1[\/latex]
\nf. [latex]\\frac{16{h}^{10}}{49}[\/latex]<\/p>\n

10.\u00a0a. [latex]$1.52\\times {10}^{5}[\/latex]
\nb. [latex]7.158\\times {10}^{9}[\/latex]
\nc. [latex]$8.55\\times {10}^{13}[\/latex]
\nd. [latex]3.34\\times {10}^{-9}[\/latex]
\ne. [latex]7.15\\times {10}^{-8}[\/latex]<\/p>\n

11.\u00a0a. [latex]703,000[\/latex]
\nb. [latex]-816,000,000,000[\/latex]
\nc. [latex]-0.00000000000039[\/latex]
\nd. [latex]0.000008[\/latex]<\/p>\n

12.\u00a0a. [latex]-8.475\\times {10}^{6}[\/latex]
\nb. [latex]8\\times {10}^{-8}[\/latex]
\nc. [latex]2.976\\times {10}^{13}[\/latex]
\nd. [latex]-4.3\\times {10}^{6}[\/latex]
\ne. [latex]\\approx 1.24\\times {10}^{15}[\/latex]<\/p>\n

13.\u00a0Number of cells: [latex]3\\times {10}^{13}[\/latex]; length of a cell: [latex]8\\times {10}^{-6}[\/latex] m; total length: [latex]2.4\\times {10}^{8}[\/latex] m or [latex]240,000,000[\/latex] m.<\/p>\n

Solutions to Odd-Numbered Exercises<\/h2>\n

1.\u00a0No, the two expressions are not the same. An exponent tells how many times you multiply the base. So [latex]{2}^{3}[\/latex] is the same as [latex]2\\times 2\\times 2[\/latex], which is 8. [latex]{3}^{2}[\/latex] is the same as [latex]3\\times 3[\/latex], which is 9.<\/p>\n

3.\u00a0It is a method of writing very small and very large numbers.<\/p>\n

5.\u00a081<\/p>\n

7.\u00a0243<\/p>\n

9.\u00a0[latex]\\frac{1}{16}[\/latex]<\/p>\n

11.\u00a0[latex]\\frac{1}{11}[\/latex]<\/p>\n

13.\u00a01<\/p>\n

15.\u00a0[latex]{4}^{9}[\/latex]<\/p>\n

17.\u00a0[latex]{12}^{40}[\/latex]<\/p>\n

19.\u00a0[latex]\\frac{1}{{7}^{9}}[\/latex]<\/p>\n

21.\u00a0[latex]3.14\\times {10}^{-5}[\/latex]<\/p>\n

23.\u00a016,000,000,000<\/p>\n

25.\u00a0[latex]{a}^{4}[\/latex]<\/p>\n

27.\u00a0[latex]{b}^{6}{c}^{8}[\/latex]<\/p>\n

29.\u00a0[latex]a{b}^{2}{d}^{3}\\\\[\/latex]<\/p>\n

31.\u00a0[latex]{m}^{4}[\/latex]<\/p>\n

33.\u00a0[latex]\\frac{{q}^{5}}{{p}^{6}}[\/latex]<\/p>\n

35.\u00a0[latex]\\frac{{y}^{21}}{{x}^{14}}[\/latex]<\/p>\n

37.\u00a0[latex]25[\/latex]<\/p>\n

39.\u00a0[latex]72{a}^{2}[\/latex]<\/p>\n

41.\u00a0[latex]\\frac{{c}^{3}}{{b}^{9}}[\/latex]<\/p>\n

43.\u00a0[latex]\\frac{y}{81{z}^{6}}[\/latex]<\/p>\n

45.\u00a00.00135 m<\/p>\n

47.\u00a0[latex]1.0995\\times {10}^{12}[\/latex]<\/p>\n

49.\u00a00.00000000003397 in.<\/p>\n

51.\u00a012,230,590,464 [latex]{m}^{66}[\/latex]<\/p>\n

53.\u00a0[latex]\\frac{{a}^{14}}{1296}[\/latex]<\/p>\n

55.\u00a0[latex]\\frac{n}{{a}^{9}c}[\/latex]<\/p>\n

57.\u00a0[latex]\\frac{1}{{a}^{6}{b}^{6}{c}^{6}}[\/latex]<\/p>\n

59.\u00a00.000000000000000000000000000000000662606957<\/p>\n\n\t\t\t

\n\t\t\t

Candela Citations<\/h3>\n\t\t\t\t\t
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