Simplify
918 ÷ 314 of 273 × √6561
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 317
918 ÷ 314 of 273 × √6561
= (32)18 ÷ 314 of (33)3 × 81, [am × an = a(m+n), am ÷ an = a(m - n)]
= 336 ÷ 314 of 39 × 34
= 336 ÷ 3(14 + 9) × 34
= 336 ÷ 323 × 34
= 3(36 - 23) × 34
= 313 × 34
= 3(13 + 4)
= 317