Simplify: $$ \left(6 x^{3} y^{5}\right)^{2} $$

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UpStudy AI · Accepted Answer

1. We start with the expression:  
   $$
   \left(6 x^{3} y^{5}\right)^{2}
   $$
2. Apply the exponent to each factor inside the parentheses:  
   $$
   \left(6\right)^{2} \cdot \left(x^{3}\right)^{2} \cdot \left(y^{5}\right)^{2}
   $$
3. Compute each part separately:  
   - $$\left(6\right)^{2} = 36$$,  
   - $$\left(x^{3}\right)^{2} = x^{3 \cdot 2} = x^{6}$$,  
   - $$\left(y^{5}\right)^{2} = y^{5 \cdot 2} = y^{10}$$.
4. Combine the results:  
   $$
   36 x^{6} y^{10}
   $$

Thus, the simplified expression is:  
$$
36 x^{6} y^{10}
$$
The simplified expression is $$ 36x^{6}y^{10} $$.

Simplify: \( \left(6 x^{3} y^{5}\right)^{2} \)

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