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Sagot :

Answer:

-16

Step-by-step explanation:

We are given the expression -3 * (7 + (-3)^2) / 3 then are asked to find the value.

Always consider PEMDAS :

Parenthesis

Exponenent

Multiplication

Division

Addition

Subtraction

So start with the parenthesis, the values we will focus on first is (7 + (-3)^2)

(-3)^2

9

(7 + 9)

16

So now we have -3 * 16 / 3

Multiplication is next :

-3 * 16

-48

Lastly, divide :

-48 / 3

-16

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[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

  • What's the value of - 3 • (7+(- 3)²) ÷ 3 ?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf- 3 \cdot ( 7 + ( - 3 ) ^ { 2 } ) \div 3[/tex]

Cancel out 3 and 3.

[tex] \sf-\left(7+\left(-3\right)^{2}\right) [/tex]

To find the opposite of [tex]\sf7+\left(-3\right)^{2}[/tex], find the opposite of each term.

[tex] \sf-7-\left(-3\right)^{2} [/tex]

Calculate -3 to the power of 2 and get 9.

[tex] \sf-7-9 [/tex]

Subtract 9 from -7 to get -16.

[tex] \boxed{ \boxed{\bf-16 }}[/tex]

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