Answer
25
Work Step by Step
$5(7-6)^3-4(2-3)^2+24$ $\longrightarrow$resolve expressions in parenthesis
=$5(1)^3-4(-1)^2+24$ $\longrightarrow$resolve exponents
=$5(1)-4(1)+24$ $\longrightarrow$multiply
=$5-4+24$ $\longrightarrow$add/subtract working left to right
=$1+24$
=$25$
