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-3[(-7)²-16]+4÷[tex]\frac{2}{5}[/tex]

Sagot :

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