How do you evaluate #[4( 8- 4) \div 2] ^ { 2} + 4#?

1 Answer
Sep 24, 2017

See a solution process below:

Explanation:

First, execute the Subtraction within the parenthesis"

#[4(color(red)(8) - color(red)(4)) -: 2]^2 + 4 =>#

#[4 xx 4 -: 2]^2 + 4#

Next, execute the Multiplication and Division within the brackets going from left to right:

#[color(red)(4) xx color(red)(4) -: 2]^2 + 4 =>#

#[color(red)(16) -: color(red)(2)]^2 + 4 =>#

#8^2 + 4#

Then, execute the Exponent operation:

#color(red)(8^2) + 4 =>#

#64 + 4#

Now, execute the Addition operation:

#64 + 4 =>#

#68#