To solve $^4 \sqrt{16^3} +$, let's break it down step by step:

Expression:

$^4 \sqrt{16^3}$

1. Simplify the power of 16: $16^3 = (2^4)^3 = 2^{12}$

2. Apply the fourth root ($^4\sqrt{\cdot}$): $^4 \sqrt{2^{12}} = 2^{12 / 4} = 2^3 = 8$

So: $^4 \sqrt{16^3} = 8$

Final Result:

$8$

Do you want a detailed explanation or have any questions?

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Here are 5 related questions to explore:

1. What is the difference between square roots and fourth roots?
2. How do you simplify higher roots of powers like $^n \sqrt{a^b}$?
3. What are some real-world applications of fourth roots?
4. How would $^4 \sqrt{16^3}$ change if the base $16$ were replaced with another number, like $8$?
5. Can we compute $^4 \sqrt{16^3}$ without using exponents?

Tip: When simplifying roots of powers, always reduce exponents first to simplify calculations.