Answer:
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Explanation:
The expression 4 to the cube root of x^10 + 5x^3 to the cube root of 8x can be written as:
4^(x^(10/3)) + 5^(x^(3/3)) * 8^(x^(1/3))
We can use the rule for multiplying exponential expressions with the same base to simplify this expression:
(4^(x^(10/3)) * 5^(x^(3/3))) * 8^(x^(1/3))
= 20^(x^(3/3)) * 8^(x^(1/3))
= 20^(x) * 8^(x^(1/3))
This expression is in the simplest form, so the sum of 4 to the cube root of x^10 + 5x^3 to the cube root of 8x is 20^(x) * 8^(x^(1/3)).