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(3-4^2)^2+8
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User Jclehner
by
8.0k points

2 Answers

1 vote

Answer: 177

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

User Migreva
by
9.1k points
0 votes

Answer:

177

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:


(3-4^2)^2+8

Parentheses

Begin by calculating the part inside the parentheses.

Following PEMDAS, calculate the exponent first:


\implies (3-4^2)^2+8=(3-16)^2+8

Then carry out the subtraction:


\implies (3-16)^2+8=(-13)^2+8

Exponents


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


\implies (-13)^2+8=169+8

Addition


\implies 169+8=177

Therefore:


\implies (3-4^2)^2+8=177

User Enakhi
by
7.9k points

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