PEMBAHASAN
c.
[tex] \begin{aligned}\sf \frac{ {( {4}^{2} \: {3}^{3} )}^{3} }{ {2}^{6} \: {3}^{8} }\: &= \frac{ {{4}^{2 \times 3} \: {3}^{3 \times 3}}}{ {2}^{6} \: {3}^{8} } \\ &= {( \frac{4}{2} )}^{6} \: {3}^{9 - 8} \\ &= {2}^{6} \times 3 \\ &= 64 \times 3 \\ &= 192 \end{aligned}[/tex]
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d.
60 = 2 × 3 × 10
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[tex] \begin{aligned}\sf \frac{ {60}^{3} }{ {2}^{2} {3}^{3} {5}^{2}} &= \sf \frac{ {2}^{3} {3}^{3} {10}^{3} }{ {3}^{3} {(2 \times 5)}^{2} } \\ &= \sf {2}^{3} \times {10}^{3 - 2} \\ &= \sf8 \times 10 \\ &= \boxed{80}\end{aligned}[/tex]
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Verified answer
PEMBAHASAN
c.
[tex] \begin{aligned}\sf \frac{ {( {4}^{2} \: {3}^{3} )}^{3} }{ {2}^{6} \: {3}^{8} }\: &= \frac{ {{4}^{2 \times 3} \: {3}^{3 \times 3}}}{ {2}^{6} \: {3}^{8} } \\ &= {( \frac{4}{2} )}^{6} \: {3}^{9 - 8} \\ &= {2}^{6} \times 3 \\ &= 64 \times 3 \\ &= 192 \end{aligned}[/tex]
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d.
60 = 2 × 3 × 10
•
[tex] \begin{aligned}\sf \frac{ {60}^{3} }{ {2}^{2} {3}^{3} {5}^{2}} &= \sf \frac{ {2}^{3} {3}^{3} {10}^{3} }{ {3}^{3} {(2 \times 5)}^{2} } \\ &= \sf {2}^{3} \times {10}^{3 - 2} \\ &= \sf8 \times 10 \\ &= \boxed{80}\end{aligned}[/tex]
60³ = (2 × 3 × 10)³ = 2³ × 3³ × 10³