Answer
$-47$
Work Step by Step
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}
