Solve (10² - 2·5) ÷ 3²: Complete Order of Operations

Previously mentioned in the order of operations that exponents come before multiplication and division which come before addition and subtraction (and parentheses always come before everything),

Let's calculate first the value of the expression inside the parentheses (by calculating the values of the terms inside the parentheses first) :

$(10^2-2\cdot5):3^2 = (100-10):3^2 =90:3^2=\frac{90}{3^2}$where in the second stage we simplified the expression in parentheses, and in the next stage we wrote the division operation as a fraction,

Next we'll calculate the value of the term in the fraction's numerator by performing the exponent, and in the next stage we'll perform the division (essentially reducing the fraction):

$\frac{90}{3^2} =\frac{\not{90}}{\not{9}}=10$Therefore the correct answer is answer D.