Question

Plz solve this question ​

Answer 1

$3 ^{ - 4} \times 10 ^{ - 5} \times 25 \div 5 ^{ - 7} \times 6 ^{? - 4} \\ = 3 ^{ - 4} \times 10 ^{ - 5} \times 5 ^{2} \div 5 ^{ - 7} \times (2 \times 3) ^{ - 4} \\ = 3 ^{ - 4} \times 10 ^{ - 5} \times 5 ^{2} \div 5 ^{ - 7} \times {2}^{ - 4} \times {3}^{ - 4 } \\ = 10 ^{ - 5} \times 5 ^{2} \div 5 ^{ - 7} \times 2 ^{ - 4} \\ = (2 \times 5) ^{2} \times {5}^{2} \div 5 ^{ - 7} \times 2 ^{ - 4} \\ = {2}^{2} \times {5}^{2} \times {5}^{2} \div 5 ^{ - 7} \times {2}^{ - 4} \\ = 2 ^{2 + 4} \times 5 ^{2 + 2} \times 5 ^{7} \\ = 2 ^{6} \times 5 ^{4} \times 5 ^{7} \\ = 2 ^{6} \times 5 ^{4 + 7 } \\ = {2}^{6} \times {5}^{11}$

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