(43²² + 73²¹)57 ÷ (1927⁴)²
(43²² + 73²¹)57 Factorize out 3²¹
3²¹(43 + 7) 57
3²¹(12 + 7) 57
3²¹(19) 57. But 57 = 19 3
3²¹(19)(193)
3²¹ 3(19) 19.
= 3²² 19²
Bottom:
(1927⁴)² = 19² 27⁴ˣ²
19² 27⁸
19² (3³)⁸
19² 3³ˣ⁸
=19² 3²⁴
(3²² 19²) ÷ (19² 3²⁴) Applying law of indices of multiplication and division
= 3²²⁻²⁴ 19²⁻²
= 3⁻² 19⁰ 19⁰ = 1
= 3⁻² 1.
= 3⁻² = 1/3²
= 1/9
