Answer:
[tex]-89[/tex]
Step-by-step explanation:
[tex]-3\left[\left(-7\right)^2-16\right]+4\div \frac{2}{5}[/tex]
Follow the PEMDAS order of operations:-
→ [tex]\textbf{Parentheses :( )}[/tex]
→ [tex]\textbf{Exponents}:a^{2}[/tex]
→ [tex]\textbf{Multiplication} :\times[/tex]
→ [tex]\textbf{Division}: \div[/tex]
→ [tex]\textbf{Addition}:+[/tex]
→ [tex]\textbf{Subtraction} :-[/tex]
➪ Calculate within the Parentheses:-
[tex]\left[\left(-7\right)^2-16\right][/tex]
[tex](-7)^{2} -16[/tex]
➪ Calculate exponent:-
[tex](-7)^{2}[/tex]
[tex]=49[/tex]
[tex]=49-16[/tex]
[tex]49-16=33[/tex]
[tex]=-3\cdot \:33+4\div \frac{2}{5}[/tex]
➪ Multiply:-
[tex]-3\cdot \:33=-99[/tex]
[tex]=-99+4\div \frac{2}{5}[/tex]
➪ Divide:-
[tex]4\div \frac{2}{5}=10[/tex]
[tex]=-99+10[/tex]
➪ Add:-
[tex]-99+10[/tex]
[tex]=-89[/tex]
OPEACEO
