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What is the value of the following fraction:

Correct Answer:

**D**Use exponent simplification rules and the fact that 26 = 2(13), 2

^{3}= 8, and 3^{2}= 9- Since 26 = 13(2), 26
^{3}= (13*2)^{3}= (13)^{3}*2^{3} - The numerator of the fraction can be simplified:

26^{3}+ 13^{3}

(13*2)^{3}+ (13)^{3}

(13)^{3}*(2)^{3}+ (13)^{3} - Factor the common term of (13)
^{3}out:

(13)^{3}*(2)^{3}+ (13)^{3}

(13)^{3}(2^{3}+ 1) - Using the powers of exponents, you can make the following simplifications:

- Continue the simplification:

- The correct answer is D.