Starting with the given expression:
[tex]6\cdot7-3^2\cdot9+4^3[/tex]Follow the hierarchy of operations to find the value.
First, solve potencies and roots. Solve the powers 3^2 and 4^3:
[tex]6\cdot7-3^2\cdot9+4^3=6\cdot7-9\cdot9+64[/tex]Next, solve the multiplications and divisions:
[tex]6\cdot7-9\cdot9+64=42-81+64[/tex]Solve the sums and substractions:
[tex]42-81+64=-39+64=25[/tex]Therefore:
[tex]6\cdot7-3^2\cdot9+4^3=25[/tex]