(6^2 + 8^2)^1/2 = (125a^3)^1/3 Work out the value of a?

(6² + 8²)^1/2 = (125a³ )^1/3(36+62)^1/2 = (125a³ )^1/3100^1/2 = (125a³ )^1/3+/- 10 = (125a³ )^1/3Using +10 as the left-hand side answer:10 = (125a³ )^1/31000 = 125a³ 8 = a³2 = aUsing -10 as the left-hand side answer:-10 = (125a³ )^1/3-1000 = 125a³ -8 = a³-2 = aPutting the answer back into the original question to check: a=2 and a=-2(6² + 8²)^1/2 = (125 x 2³)^1/3( 36 + 64) ^1/2= (125 x 8)^1/3100^1/2 = 1000^1/3 = 10(6² + 8²)^1/2 = (125 x (-2))^1/3( 36 + 64) ^1/2 = (125 x (-8))^1/3100^1/2 = (-1000)^1/3 = -10