Question

Solve equation Y to the third power equals 64 / 729 show your work and explain your steps

Answer 1

Given the equation;

`y^3=(64)/(729)`

Then, we express 64 as an index of 4, and express 729 as an index of 9, we have;

`\begin{gathered} 64=4*4*4 \\ 64=4^3 \end{gathered}`

Also,

`\begin{gathered} 729=9*9*9 \\ 729=9^3 \end{gathered}`

Then the equation becomes;

`\begin{gathered} y^3=\frac{4^3}{9^{3^{}}} \\ y^3=((4)/(9))^3 \end{gathered}`

Then we take off the powers, we have;

`y=(4)/(9)`