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How do you simplify #[( - 72) \div ( - 2) ] ^ { 2} - ( - 7) \cdot ( - 11)#?

Answer 1

#1,219#

If the question involves multiple calculations, start by counting the terms. Then, simplify each term individually to obtain a single value. Finally, add or subtract in the final line.

Do the following within each term: brackets first, powers and roots next, and finally multiply and divide.

#[color(red)(( - 72) \div ( - 2)) ] ^ { 2} - color(blue)(( - 7) xx ( - 11))" "larr# has 2 terms

=#color(red)([+36 ]^2 ) - color(blue)(( +77))#

=#color(red)(1,296) color(blue)(-77)#

=#1,219#

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Answer 2

Benjamin Altschul

To simplify the expression [( - 72) ÷ ( - 2) ] ^ { 2} - ( - 7) ⋅ ( - 11), follow these steps:

Step 1: Simplify the division inside the parentheses: (-72 ÷ -2) = 36. Step 2: Square the result: 36^2 = 1296. Step 3: Simplify the multiplication: (-7) ⋅ (-11) = 77. Step 4: Subtract the result of the multiplication from the result of the squared division: 1296 - 77 = 1219.

Therefore, the simplified expression is 1219.

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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.