Question

Найдите 25% от числа х, если х=(1/2)^4×4^3^4

Answer 1

▪25% от 3^3 × 2^4 × (1/6)^2 = 25% × 3^3 × 2^4 × (1/6)^2 = 25/100 × 27× 16 × 1/36 = 1/4 × 27× 16 × 1/36 = (27×16)/(4×36) = (3×4)/4 = 3
▪25% от (2/3)^4 × 27 × (3/4)^2 = 25% × (2/3)^4 × 27 × (3/4)^2 = 1/4 × 16/81 × 27 × 9/16 = (16×27×9)/(4×81×16) = (1×3×1)/(4×1×1) = 3/4 = 0,75
▪25% от (1/2)^4 × (4^3)^4 = 25% × (1/2)^4 × (4^3)^4 = 1/4 × 1/16 × 4^12 = 4^12/64 = 4^12/4^3 = 4^9 = 262144