Practice Test Discussion

${(49)}^{3} \div {(7)}^{2} = ?$

[New India Insurance (PO), 2009]

2401

343

None of these

Explanation

Here,

$= {(7^{2})}^{3} \div {(7)}^{2} = ? = {(7)}^{6} \div {(7)}^{2} = ? = 7^{6 - 2} = ? [∴ 7^{6} \div 7^{6 - 2}] = ? = 7^{4} = 7 \times 7 \times 7 \times 7 = 2401$

Hence, option A is correct.

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