Simplify. Express your answer using exponents. (3j²k⁵m⁵)² Submit.

To simplify the expression (3j²k⁵m⁵)², you need to apply the power of a power property, which states that when you raise a power to another power, you multiply the exponents.

Here’s the step-by-step simplification:

1. Square the Coefficient: The coefficient 3 gets squared:

[

3² = 9

]

2. Square Each Variable:

– For (j²), you calculate ( (j²)² = j^{2 cdot 2} = j^{4} ).

– For (k⁵), you calculate ( (k⁵)² = k^{5 cdot 2} = k^{10} ).

– For (m⁵), you calculate ( (m⁵)² = m^{5 cdot 2} = m^{10} ).

3. Combine All Parts: Now combine the squared coefficient and the squared variables:

[

9j^{4}k^{10}m^{10}

]

So, the simplified expression is:

[

boxed{9j^{4}k^{10}m^{10}}

]

This shows the original expression simplified with exponents. If you have more questions or need further assistance, feel free to ask!