Simplify. Express your answer using exponents. (10a^4b^7c^8)^3 Submit

To simplify the expression ((10a^4b^7c^8)^3), we will apply the power of a product and power of a power rules in exponents.

1. Apply the power to each factor inside the parentheses:

((10)^3), ((a^4)^3), ((b^7)^3), and ((c^8)^3).

2. Calculate each part:

– (10^3 = 1000)

– ((a^4)^3 = a^{4 cdot 3} = a^{12})

– ((b^7)^3 = b^{7 cdot 3} = b^{21})

– ((c^8)^3 = c^{8 cdot 3} = c^{24})

3. Combine everything:

So, the expression simplifies to:

[

1000a^{12}b^{21}c^{24}

]

Your final answer is:

[

1000a^{12}b^{21}c^{24}

]

If you have more questions or need further assistance, feel free to ask!