Question

simplify (32/24^3)^-3/5

Answer 1

Solution:

3 1/3 ÷ 5/3 - 1/10 of 2 ½ + 7/4

= (3 × 3 + 1)/3 ÷ 5/3 – 1/10 of (2 × 2 + 1)/2 + 7/4

= 10/3 ÷ 5/3 - 1/10 of 5/2 + 7/4

[‘of’ simplified]

= 10/3 × 3/5 – ½ × ½ + 7/4 [‘÷’ simplified]

= 2/1 - ¼ + 7/4 [‘×’ simplified]

= (2 × 4)/1 × 4) - (1 × 1)/4 × 1) + (7 × 1)/4 × 1)

= 8/4 - ¼ + 7/4

[Now the denominators are same of all the fractions]

= (8 – 1 + 7)/4 [‘+’ and ‘-‘ simplified]

= 14/4

= 7/2