Question

64x^3-1=0

Answer 1

Add 1 to the other side.

Then divide 64 to the other side.
this equals x^3=1/64

Answer 2

Then cube root each side.
\[\sqrt[3]{x ^{3}} = \sqrt[3]{\frac{ 1 }{ 64 }}\]

Answer 3

then think 1x1x1=1^3 so you can cube root 1 for the numerator

then for cube root of 64 = 4x4x4 = 4^3 so you get 4 in the denominator

Answer 4

so, you can conclude x=1/4