Question 965679
Can you please help me with this question?

A student began solving the equation x^3/5=5 by cubing each side. What will the student have to do next? What could have the student done to solve the equation in just one step?
<pre>
{{{x^3/5 = 5}}}
{{{(x^3/5)^3 = 5^3}}} ------ Cubing each side, as student did
{{{(x^9/5^3) = 5^3}}} ------- Next step
All this doesn't make any sense. Did the student cube each side, or took the CUBE ROOT of each side?

Correct solution:
{{{x^3/5 = 5}}}
{{{x^3 = 25}}} ------ Cross-multiplying
{{{x = root(3, 25)}}}