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

1 Answer
Aug 2, 2016

Answer:

#13#

Explanation:

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#