1.) Bentuk sederhana dari ( p⁴. q² . r )² -------------- (p³ . q-¹ .r-²) 2.) Nilai dari (125)^⅔ - (32)^³/5 + (¹/49)^-½ 3.) Nilai dari 5log125 - ³log18 + ²log16

[tex]1) \\ \frac{{( {p}^{4} \times {q}^{2} \times r) }^{2} }{ {p}^{3} \times {q}^{ - 1} \times {r}^{ - 2} } = \frac{ {p}^{8} \times {q}^{4} \times {r}^{2} }{ {p}^{ 3} \times {q}^{ - 1} \times {r}^{ - 2} } \\ = {p}^{8 - 3} \times {q}^{4 - ( - 1)} \times {r}^{2 - ( - 2)} \\ = {p}^{5} \times {q}^{5} \times {r}^{4} [/tex]
[tex]2) \\= {( {5}^{3} )}^{ \frac{2}{3} } - { ({2}^{5} )}^{ \frac{3}{5} } + { ({7}^{ - 2} )}^{ - \frac{1}{2} } = {5}^{2} - {2}^{3} + 7 \\ = 25 + 8 + 7 = 40[/tex]
[tex]3) \\ = {}^{5} log {5}^{3} - {}^{3} log(3 \times 6) + {}^{2} log {2}^{4} - {}^{3} log {2}^{ - 1} \\ = 3 - {}^{3} log3 + {}^{3} log6 + 4 + {}^{3} log2 \\ = 7 - 1 + {}^{3} log(6 \times 2) \\ = 6 + {}^{3} log12 = 6 + {}^{3} log4 + {}^{3} log3 \\ = 6 + 1 + {}^{3} log4 = 7 + {}^{3} log4[/tex]
[tex]4) \\ = {}^{3} log {2}^{5} \times {}^{2} log {6}^{2} \times {}^{6} log {3}^{3} \\ =5 \times 2 \times 3 \times {}^{3} log {2} \times {}^{2} log {6}\times {}^{6} log {3} \\ = 30 \times 1 = 30[/tex]