## Elementary Algebra

$-47$
Recall, in order to solve problems involving order of operations, we use the PEMDAS rule. First Priority: P - parentheses and other grouping symbols Second Priority: E - exponents Third Priority: M/D - Multiplication or division, whichever comes first from the left to the right Fourth Priority: A/S - Addition or subtraction, whichever comes first from the left to the right We follow order of operations to obtain that the expression, $-8^2+3^4-4^3 ,$ simplifies to \begin{array}{l}\require{cancel} -8(8)+3(3)(3)(3)-4(4)(4) \\\\= -64+81-64 \\\\= 17-64 \\\\= -47 .\end{array}