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(3-4^2)^2+8
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Sagot :

Jeffannoymous2293idn

Answer: 177

Step-by-step explanation:

1. 4x4=16

(3-16)^2+8

2. 3-16=-13

(-13)^2+8

3. -13x-13=169

169+8

4.169+8=177

177

Semsee45idn

Answer:

177

Step-by-step explanation:

                       

PEMDAS

The PEMDAS rule is an acronym representing the order of operations in math:

  1. Parentheses
  2. Exponents
  3. Multiplication and Division (from left to right)
  4. Addition and Subtraction (from left to right)

Given expression:

[tex](3-4^2)^2+8[/tex]

Parentheses

Begin by calculating the part inside the parentheses.

Following PEMDAS, calculate the exponent first:

[tex]\implies (3-4^2)^2+8=(3-16)^2+8[/tex]

Then carry out the subtraction:

[tex]\implies (3-16)^2+8=(-13)^2+8[/tex]

Exponents

[tex]\textsf{Apply the exponent rule}: \quad (-a)^n=a^n, \quad \textsf{if }n \textsf{ is even}[/tex]

[tex]\implies (-13)^2+8=169+8[/tex]

Addition

[tex]\implies 169+8=177[/tex]

Therefore:

[tex]\implies (3-4^2)^2+8=177[/tex]

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