Question 156

$$(6 \times 6 \times 6 \times 6 \times 6 \times 6)^{4} \times (6 \times 6 \times 6 \times 6)^{5} \div (6 \times 6)^{7} = (36)^{?}$$

Solution

The given expression can be written as $$(6^6)^4 \times (6^4)^5 \div (6^2)^7$$
This equals $$6^{24} \times 6^{20} \div 6^{14} = 6^{30} = 36^{15}$$

Hence, the correct option is option (a)


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