Question

0.000028 = 0.105 (0.0821x)^-2

Please show all work, thank you

Answer 1

Ans. 0.000028 = 0.105 (0.0821X)^-2

Or, (0.0821X)^-2 = 0.000028 / 0.105 = 0.00026667

Or, (0.0821)^-2 x (X)^-2 = 0.00026667                                    ; [(a . b)ⁿ = aⁿ x bⁿ]

Or, [ 1/ (0.0821)² ] x [1 / X²] = 0.00026667                       ; [X^-2 = 1/ X²]

Or, 148.359 x (1 / X²) = 0.00026667

Or, 1 / X² = 0.00026667 / 148.359 = 1.7975 x 10^-6

Or, X² = 1 / (1.7975 x 10^-6) = 5.563282 x 10⁵

Or, X = (5.563282 x 10⁵)^½OR under root (5.563282 x 10⁵)

Hence, X = 745.87