How do you use PEMDAS to simplify $4 {(9 - 6)}^{2}$ $4(9-6)^2$ ?

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How do you use PEMDAS to simplify $4 {(9 - 6)}^{2}$ $4(9-6)^2$ ?

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Answer 1 · 2016-01-12T06:12:55

$4 {(9 - 6)}^{2} = 36$ $4(9-6)^2=36$

Explanation:

Parentheses: Before anything, we evaluate expressions within parentheses.

$4 {(9 - 6)}^{2}$ $4color(red)((9-6))^2$

Inside the parentheses there is only one operation, and so we can evaluate that part directly without worrying about PEMDAS.

$4 {(3)}^{2}$ $4color(red)((3))^2$

Exponents: Next, apply any exponents. Be careful to only apply the exponent to its base.

$4 \cdot {(3)}^{2}$ $4*color(red)((3)^2)$

In this case, the base is $3$ $3$

$4 \cdot 9$ $4*color(red)(9)$

Multiplication: Next, perform any multiplication. This can include the division step, as dividing by $x$ $x$ is the same as multiplying by $\frac{1}{x}$ $1/x$ .

$4 \cdot 9$ $color(red)(4*9)$

Multiplication is all that remains, so we evaluate it to get the final result

$36$ $color(red)(36)$

Addition and subtraction would follow, however they do not occur in the given expression. Note that as with multiplication and division, subtraction may be performed together with addition, as subtracting $x$ $x$ is the same as adding $- x$ $-x$ .

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How do you use PEMDAS to simplify $4 {(9 - 6)}^{2}$ $4(9-6)^2$ ?

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