The Smiths spend 12% of their budget on entertainment. Their total budget this year
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The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
<h3>Absolute values of the complex numbers</h3>The absolute values of the complex numbers are determined as follows;
(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴
(-1+sqrt3i)^12 = (-1 + √3i)¹²
(sqrt 3-i)^6 = (√3 - i)⁶
(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸
(sqrt2-i)^6 = (√2 - i)⁶
Increasing order of the complex numbers;
(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.
Learn more about complex numbers here: brainly.com/question/10662770
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Following expressions will have negative product
Following expressions will have positive product
Further explanation:
We will see at each expression one by one
First expression is:
In the given expression one term is positive and one term is negative. The product of negative and positive terms is negative.
Second Expression is:
Both terms are negative and the product of two negative terms is positive.
Third Expression is:
The expression has one positive and one negative term so the product will be negative
Fourth Expression is:
Both terms are positive so the product will also be positive
Keywords: Product, Expressions
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