Question

Solve this by using laws of exponents.

4⁵×2³×6⁴×9²​

Answer 1

$\tt \ \: { {4}^{5} \times {2}^{3} \times {6}^{4} \times {9}^{2} } \\ \\ \tt \ \: {\implies {2}^{1 0} \times {2}^{3} \times {2}^{4} \times {3}^{4} \times {3}^{4} } \: \: \: \: \: \: \: \: \\ \\ \tt \ \: { \implies {2}^{10 + 3 + 4} \times {3}^{4 + 4} } \\ \\ \tt \ \: { \implies {2}^{17} \times {3}^{8} }$

Answer 2

$\tt \ \: { {4}^{5} \times {2}^{3} \times {6}^{4} \times {9}^{2} } \\ \\ \tt \ \: {\implies {2}^{1 0} \times {2}^{3} \times {2}^{4} \times {3}^{4} \times {3}^{4} } \: \: \: \: \: \: \: \: \\ \\ \tt \ \: { \implies {2}^{10 + 3 + 4} \times {3}^{4 + 4} } \\ \\ \tt \ \: { \implies {2}^{17} \times {3}^{8} }$

Answer 3

$\tt \ \: { {4}^{5} \times {2}^{3} \times {6}^{4} \times {9}^{2} } \\ \\ \tt \ \: {\implies {2}^{1 0} \times {2}^{3} \times {2}^{4} \times {3}^{4} \times {3}^{4} } \: \: \: \: \: \: \: \: \\ \\ \tt \ \: { \implies {2}^{10 + 3 + 4} \times {3}^{4 + 4} } \\ \\ \tt \ \: { \implies {2}^{17} \times {3}^{8} }$