Given expression = [(0.05)² + (0.41)² +(0.073)²] / [(0.005)² + (0.041)² + (0.0073)²]
Which is in form of [(a² + b² + c²)] /[ (a/10)² + (b/10)² + (c/10)²] = 100 x (a² + b² + c²) / (a²+b²+c²)
= 100

Given expression =(13.065)²-(3.065)²
=(13.065 + 3.065) x (13.065 - 3.065)
=16.13 x 10
= 161.3

Given expression = (.896 x .752 +.896 x .248) / (.7 x .034 + .7 x.966)
=.[896 x (.752+.248)] / [.7 x (.034+.966)]
= .(896 x 1) / ( .700 x 1)
=896/700
= 1.28

Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]
= (a² -2ab + b²) / (c²+2cd+d²)
= (a - b)² / (c + d)²
= (.356 -.106)² / (.632 + .368)²
= (.25)²
= .0625

Given expression
=[(3.65)² + (2.35)² -2 x 3.65 x 2.35 ] / 1.69
=a² + b² - 2ab / 1.69, Where a = 3.65 and b = 2.35
=(a - b)² / 1.69
= (3.65 - 2.35)² / 1.69
= (1.3)² / 1.69
= 1.69 / 1.69
= 1

Given expression
= [(0.5)³ + (0.6)³ ] / [(0.5)² - 0.5 x 0.6 + (0.6)²]
= (a³+b³) / ( a²-ab+b²)
= a + b
= 0.5 + 0.6
= 1.1

Given expression
= [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]
= [a³ + b³] / [a² - ab + b²]
= [(a + b)(a² - ab + b²)] / [a² -ab + b²]
= a+b
= 0.5 + 0.3
= 0.8

Given expression
= [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]
= [a³ - b³ ] / [ a² + ab + b²]
= [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]
= (a - b)
= (0.47 - 0.33)
= 0.14

Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³
= (a² + ab + b²) / (a³ - b³)
= (a² + ab + b²) / [(a-b) (a² + ab + b²)]
= 1 / (a - b)
= 1/ (1.04 - 0.04)
= 1

Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13
= [(a + b ) (a² + b² - ab)] / (a² + b² - ab)
= a + b
= 0.87 + 0.13
= 1