Question 150763
Solve for x:
{{{x^3/16 = x^6/2}}} Multiply both sides by 2.
{{{2x^3/16 = x^6}}} Divide both sides by {{{x^3}}}
{{{2/16 = x^3}}} Simplify the left side.
{{{1/8 = x^3}}} Take the cube root of both sides.
{{{1/2 = x}}}
Solution: {{{x = 1/2}}}
Check:
{{{x^3/16 = x^6/2}}} Substitute {{{x = 1/2}}}
{{{((1/2)^3)/16 = ((1/2)^6)/2}}}
{{{(1/8)/16 = (1/64)/2}}} Simplify both sides.
{{{(1/8)*(1/16) = (1/64)*(1/2)}}}
{{{1/128 = 1/128}}}