Simplify each expression using positive real number

Question

5^1/35^-5/3

Answer 1

The expression is 5^1/3 5^-5/3

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

= 5^(1/3)+(-5/3)

= 5^(-4/3)

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

= 1/5^(4/3)