How do you simplify $4 + [ -1 ( -2 -1 )] ²$ using PEMDAS?

Question

2480 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-02T00:06:58

$13$

Identify the terms and simplify each to give a single answer.
Within a term, parentheses first, then powers and roots, then multiply and divide.

$color(blue)(4)color(red)( + [ -1 ( -2 -1 )] ²) " there are 2 terms"$

= $color(blue)(4)color(red)( + [ -1 color(black)(( -2 -1) )] ²)$

= $color(blue)(4)color(red)( + [ -1 xx(color(black)( -3 ))] ²)$

= $color(blue)(4)color(red)( + [ 3 ] ²)$

= $color(blue)(4)color(red)( + 9)$

= $13$

How do you simplify 4 + [ -1 ( -2 -1 )] ²4 + [ -1 ( -2 -1 )] ² using PEMDAS?