Question

(3-4^2)^2+8
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Answer 1

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

Answer 2

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`