Question

2^101:[(3*5-13)^98+2^105:(2^3*16)+8^33]*23

Answer 1

2^101 : [(3×5 - 13)^98 + 2^105 : (2^3 × 16) + 8^33] × 23 =

= 2^101 : [(15 - 13)^98 + 2^105 : (2^3 × 2^4) + (2^3)^33] × 23 =

= 2^101 : (2^98 + 2^105 : 2^7 + 2^99) × 23 =

= 2^101 : (2^98 + 2^98 + 2^99) × 23 =

= 2^101 : [2^98 (1 + 1 + 2)] × 23 =

= 2^101 : (2^98 × 4) × 23 =

= 2^101 : (2^98 × 2^2) × 23 =

= 2^101 : 2^100 × 23 =

= 2 × 23 =

= 46