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3. Simplify (3xy³)⁴ (x²)⁵

Sagot :

SOLUTION

We want to simplify (3xy³)⁴ (x²)⁵

This becomes

[tex]\begin{gathered} \mleft(3xy^{3}\mright)^{4}(x^{2})^{5} \\ \text{This becomes } \\ 3^4\times x^4\times(y^3)^4\times(x^{2})^{5} \\ 81\times x^4\times y^3^{\times4}\times x^{2\times5} \\ =81\times x^4\times y^{12}\times x^{10} \\ \text{arranging we have } \\ =81\times x^4\times x^{10}\times y^{12} \end{gathered}[/tex]

So we have

[tex]\begin{gathered} =81\times x^4\times x^{10}\times y^{12} \\ =81\times x^{4+10}\times y^{12} \\ =81\times x^{14}\times y^{12} \\ =81x^{14}y^{12} \end{gathered}[/tex]

Hence the answer is

[tex]81x^{14}y^{12}[/tex]

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