Simplify. Express your answer using exponents. (5h²j⁸k³)³ Submit.

To simplify the expression ((5h²j⁸k³)³), we need to apply the power of a product rule, which states that ((ab)^{n} = a^{n}b^{n}). This means we will raise each factor inside the parentheses to the power of 3.

1. Raise the coefficient:

[ 5^3 = 125 ]

2. Raise the variable (h²):

[ (h²)³ = h^{2 cdot 3} = h^6 ]

3. Raise the variable (j⁸):

[ (j⁸)³ = j^{8 cdot 3} = j^{24} ]

4. Raise the variable (k³):

[ (k³)³ = k^{3 cdot 3} = k^{9} ]

Now, combine all these results:

[

(5h²j⁸k³)³ = 125h^6j^{24}k^{9}

]

So, the simplified expression is:

[

boxed{125h^6j^{24}k^{9}}

]

This solution uses the exponentiation rule appropriately to simplify the expression. If you have more questions or need further explanation, feel free to ask!