Solve for x. 2x^-3/5=5

Question

Round two decimals places.

2x^-3/5=5

Answer 1

2x^-3/5 = 5

x^-3/5 = 5/2           divide both side by 2

x^-3 = 3125/320    raise both sides to 5th power

x³ = 320/3125     reciprocals of equals are equal

x³ = 0.1024         simplify

x ≈ 0.4678           take cube root of both sides