Question

12^4×9^3×4÷6^3×8^2×27​

Answer 1

Answer:

162

Step-by-step explanation:

$\frac{ {12}^{4} \times {9}^{3} \times 4 }{ {6}^{3} \times {8}^{2} \times 27 } \\ = \frac{ {(2 \times 2 \times 3)}^{4} \times {3}^{6} \times {2}^{2} }{ {(2 \times 3)}^{3} \times {2}^{6} \times {3}^{3} } \\ = \frac{ {2}^{4} \times {2}^{4} \times {3}^{4} \times {3}^{6} \times {2}^{2} }{ {2}^{3} \times {3}^{3} \times {2}^{6} \times {3}^{3} } \\ = \frac{ {2}^{10} \times {3}^{10} }{ {2}^{9} \times {3}^{6} } \\ = {2}^{10 - 9} \times {3}^{10 - 6} \\ = 2 \times {3}^{4} \\ = 2 \times 81 \\ = 162$

Answer 2

Answer:

$\sf \dfrac{ {12}^{4} \: \times \: {9}^{3} \: \times \: {4} }{ {6}^{3} \: \times \: {8}^{2} \: \times \: 27}$

$\sf \dfrac{ 12 \: \times \: 12 \: \times \: 12 \: \times \: 12 \: \times \: 9 \: \times 9 \: \times 9\: \times \: {4} }{ 6 \: \times 6 \: \times 6\: \times \: 8 \: \times 8 \: \times \: 27}$

$\sf \dfrac{ 2\: \times \: 2\: \times \: 2 \: \times \: 12 \: \times \: 9 \: \times \: 3}{ 2 \: \times \: 8}$

$\sf 2 \: \times \: 3 \: \times \: 9 \: \times \: 3$

$\underline{ \boxed{\sf 162 }}$