How do you find the value of #[6-(12-8)^2] div5#?

Answer 1

Nova Allen

#-2#

This is all one term, but there are different operations being done.

Start with the innermost brackets, then work outwards. Each new color shows the next step.

#[6-color(red)((12-8))^2] div5#

=#[6-color(red)((4)^color(blue)(2)] div5#

=#[color(lime)(6)-color(blue)(16)] div5#

=#color(lime)(-10) color(magenta)(div 5)#

=#color(magenta)(-2)#

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Answer 2

Genesis Amaya

To find the value of ( \frac{{6 - (12 - 8)^2}}{5} ), follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right):

[ \frac{{6 - (12 - 8)^2}}{5} = \frac{{6 - (4)^2}}{5} = \frac{{6 - 16}}{5} = \frac{{-10}}{5} = -2 ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.