Simpllfy the expression using positive real numbers

Question

(b^3/5b^2/5)8

Answer 1

The rational expression is (b³/5b²/5)8

= [b³/(5b²/5)]8

= (b³/b²)8

= (8 * b * b * b)/(b * b)

= 8b

Answer 2

The rational expression is (b³/5b^2/5)8

{Apply negative exponent property a^-n = 1/aⁿ where a ≠ 0}

= 8b³b^-2/5/5

{Apply Product of powers property a^m aⁿ = a^mn where a ≠ 0}

= (8/5)b^3-(2/5)

= (8/5)b^(13/5)