What is the differnence between (-2)^2 and -2^2 in math

Mathematics

2 answers:

zhuklara [117]3 years ago

8 0

Answer: The one with perinthesis is bigger because you would do the negative first and you would have nothing to take away from

Step-by-step explanation:

wariber [46]3 years ago

4 0

Answer:

(-2)^2 = 4
-2^2 = -4

Step-by-step explanation:

The first is (-2)(-2) = 4.

The second is -(2)(2) = -4.

The order of operations says exponents are evaluated first. An exponent signifies repeated multiplication of the base.

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If your calculator is working correctly, it will show you the difference.

Beware spreadsheet programs. They don't always follow the order of operations when evaluating formulas. Parentheses are often required to keep them honest.

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$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$