#### Answer

The student added together the bases and added together the exponents of the two terms, which is mathematically incorrect.
The correct answer is $189$.
$5^{3}+2^{6}=125+64=189$

#### Work Step by Step

The student added together the bases and added together the exponents of the two terms, which is mathematically incorrect.
$5^{3}+2^{6}=125+64=189$