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Find [tex]f(x) = 4(9x^9 + 4x^4)^8[/tex].

Answer :

Final answer:

To find the value of f(x) = 4(9x⁹+4x⁴)⁸, you can simplify the expression within the parentheses by applying the power rule of exponents. Then distribute the outer power of 8 to each term. Finally, simplify further if required.

Explanation:

To find the value of f(x) = 4(9x⁹+4x⁴)⁸, we can first simplify the expression within the parentheses. We apply the power rule of exponents to each term inside the parentheses, multiplying the exponents:

9x⁹+4x⁴ becomes 9⁸x⁷+4⁸x³. Now we can distribute the outer power of 8 to each term:

f(x) = 4(9⁸x⁷+4⁸x³). Finally, we can simplify further if required.

Learn more about Simplifying expressions here:

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