## College Algebra (6th Edition)

$\frac{17}{36}$
Use the order of operations to simplify the expression:$$\frac{10\div2+3\times4}{(12-3\times2)^{2}}$$ As the fraction itself defines grouping symbols, the numerator and denominator are each individual groups. Within each group start with grouping symbols, then move to exponents, multiplication and division in order left to right, and finally addition and subtraction left to right:$$=\frac{5+12}{(12-6)^{2}}$$ $$=\frac{17}{6^{2}}$$ $$=\frac{17}{36}$$ This is the final solution as it can not be simplifed.