Question

3. Simplify (3xy³)⁴ (x²)⁵

Answer 1

We want to simplify (3xy³)⁴ (x²)⁵

This becomes

`\begin{gathered} \mleft(3xy^(3)\mright)^(4)(x^(2))^(5) \\ \text{This becomes } \\ 3^4* x^4*(y^3)^4*(x^(2))^(5) \\ 81* x^4* y^3^(*4)* x^(2*5) \\ =81* x^4* y^(12)* x^(10) \\ \text{arranging we have } \\ =81* x^4* x^(10)* y^(12) \end{gathered}`

So we have

`\begin{gathered} =81* x^4* x^(10)* y^(12) \\ =81* x^(4+10)* y^(12) \\ =81* x^(14)* y^(12) \\ =81x^(14)y^(12) \end{gathered}`

Hence the answer is

`81x^(14)y^(12)`