Question

simplify th expreession (3x^4/2y^3)^2

Answer 1

\[(3x^4/2y^3)^2\]
That squared outside the parentheses means that every single term inside the parentheses is being squared. So,
the 3 is squared, making it 9,
the x^4 is squared, making it x^6
Collectively, the top has now become
\[(9x^6)\]

Now the bottom,
the 2 is squared, making it 4
the y^3 is squared, making it y^5
Collectively, the bottom has now become
\[(4y^5)\]

So overall, it looks like
\[(9x^6)/(4y^5)\].

Complete. :)