Question

1/2−3(1/2+1)2 Please help
The slash marks stand for a fraction and the 2 at the end is an exponent

Answer 1

The result is $-1\frac {1}{2}$

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Explanation

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Exponent

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Power numbers are numbers that make it easier to write when multiplying numbers with the same fraction (the same number) for example is 2 × 2 × 2 × 2, if in writing numbers like this example the number is very long, therefore to simplify it, write a new number you just write $2^4$

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Power is a mathematical formula that determines the number of natural numbers, to the power of numbers we add (multiply) numbers whose factors are the same (same numbers).

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As an example

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$a^n = a × a × a$ number ( a ) multiplied by the sum of powers ( n )

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Simplify

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• $2 × 2 = 2^2$
• $2 × 2 × 2 = 2^3$
• $2 × 2 × 2 × 2 = 2^4$
• $2 × 2 × 2 × 2 × 2 = 2^5$

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Formulas Numbers to Powers

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1. Positive Exponential (+)
2. Negative exponent ( - )
3. Number to the power of zero ( 0 )

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Positive Exponent

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is a simple number that has a positive exponent. The properties (formula) of positive numbers are as follows:

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Positive Exponent

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1. $a^m × a^n = a^{m+n}$
2. $a^m a^n = a^{m-n}$
3. $(a^m)^n = a^{m×n}$
4. $(ab^m) = a^m b^m$
5. $(\frac {a}{b})^m = \frac {a^m}{b^m}$

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Negative Exponent

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is a simple number with a negative power. Even the properties (formula) of negative numbers are

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Negative Exponent

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1. $a^{-n} = \frac {1}{a^n} = \frac {1}{a×a}$

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Zero Exponent

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is a number that has a power of zero, a number that has a power of zero is expressed as a positive integer one

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Zero Exponent

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1. $\frac {a^n}{a^n} = a^{n-n} = a^0$

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Fraction Number

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A fraction is a number in the form $\frac{p}{q}$ where p and q are integers and q 0. The number divided by (p) is called the numerator and the divisor (q) is called the denominator. Both can be expanded or simplified into other equivalent fractions by using the same multiplier or divisor to simplify the arithmetic operation. Fractions can be converted into decimal fractions by dividing the numerator by the denominator.

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Fraction is a number that consists of a numerator and denominator where the numerator is the number to be divided, while the denominator is the number that will divide the numerator and denominator cannot be equal to zero. And fractions are also rational numbers that compare the proportion or part of a number to the whole number.

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Formula

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➽ Addition and subtraction

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For addition or subtraction on integers we only find the LCM of the number. If the LCM has been found, then we can add up the fractional numbers. Remember that the denominators must be the same and then add up.

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➽ Multiplication

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For multiplication, we simply multiply the numerator and the numerator and the denominator by the denominator of the fraction.

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➽ Division

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Repeatedly divide the numerator and denominator by the same positive integer until they are no longer divisible. The simple form of a fractional number if the GCF of the numerator and denominator is 1. If the GCF is not yet equal to 1, the way to simplify it is to divide the numerator and denominator by the GCF.

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Question

$\frac {1}{2} - 3 (\frac {1}{2} + 1)^2$

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Answer

$\frac {1}{2} - 3 (\frac {1}{2} + 1)^2$

$\frac {1}{2} - 3 (\frac {1}{2} + \frac {1}{1})^2$

$\frac {1}{2} - 3 (\frac {1}{2} + \frac {1×2}{1×2})^2$

$\frac {1}{3} - 3 (\frac {1}{2} + \frac {2}{2})^2$

$\frac {1}{3} - 3 (\frac {3}{2})^2$

$\frac {1}{3} - \frac {3}{1} (\frac {3×3}{2×2})$

$\frac {1}{3} - \frac {3×3}{1×3} (\frac {9}{4})$

$\frac {1}{3} - \frac {3}{3} (\frac {9}{4})$

$\frac {-2}{3} (\frac {9}{4})$

$\frac {-18}{12}$

$\frac {-3}{2}$

$-\frac {3}{2}$

$-1\frac {1}{2}$

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Conclusion

So, the result is $-1\frac {1}{2}$

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Learn More

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1. ➽ brainly.com/question/14891112
2. ➽ brainly.com/question/24231654
3. ➽ brainly.com/question/23490312

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Answer Detail

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• ➽ Subject : Mathematics
• ➽ Chapter : 5 - Fractions
• ➽ Maple Code : 2
• ➽ Category Code : 5.2.5
• ➽ Keywords : Numbers, Fractions, and Exponent

Answer 2

$\bf \frac{1}{2} - {3( \frac{1}{2} + 1)}^{2} \: \: \: = \: \: \: \frac{1}{2} - 3 {( \frac{1 + 2}{2} )}^{2} \\ \bf = \frac{1}{2} - 3 ({ \frac{3}{2} )}^{2} = \frac{1}{2} - 3 (\frac{9}{4} ) = \frac{1}{2} - \frac{27}{12} \\ \bf = \frac{6 - 27}{12} = \frac{ - 21}{12} = \frac{ - 7}{6} = - 1 \frac{1}{6}$