What value should come in place of (?) in the following question? (272 × 813 × 274)/ 276= 27 × 3?

What value should come in place of (?) in the following question? (272 × 813 × 274)/ 276= 27 × 3? Correct Answer 9

Calculations:

(272 × 81× 274)/ 276= 27 × 3?

⇒ (27(2 + 4) × 813)/ 276= 27 × 3?

⇒  (276 × 813)/ 276= 27 × 3?

⇒  813= 27 × 3?

⇒3? = 312/33

⇒3? = 39

⇒ ? = 9

Hint

If am = an

Then, m = n 

a-1 = 1/a

a1 = a

am/an = am - n

(am)n = amn

am × an = am + n

Related Questions

While solving a problem on addition, ‘234 + 42’, a student said aloud: “If it were 40 then it would be 244, 254, 264, 274 but its 42, so it will be 274 + 2 = 276", therefore 234 + 42 is 276. Which one of the following statements is correct for the strategy used by the student?