Question

How do you evaluate `5- 2( 3^ { 2} - 7) ^ { 2} + 4`?

Answer 1

See a solution process below:

Explanation:

First, expand the term within the parenthesis with the Exponent:

`5 - 2(color(red)(3^2) - 7)^2 + 4 => 5 - 2(9 - 7)^2 + 4`

Next, execute the operation within the Parenthesis:

`5 - 2(color(red)(9 - 7))^2 + 4 = 5 - 2 * (2)^2 + 4`

Then, execute the Exponent operation:

`5 - 2 * color(red)((2)^2) + 4 = 5 - 2 * 4 + 4`

Next, execute the Multiplication operation:

`5 - color(red)(2 * 4) + 4 => 5 - 8 + 4`

Now, execute the Subtraction and Additions left to right:

`color(red)(5 - 8) + 4 => -3 + 4 => 1`