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frozen [14]
3 years ago
10

Simplify (5^-2)^4. Plsss help

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0

Answer:

1/5^8

Step-by-step explanation:

We know that a^b^c = a^(b*c)

(5^-2)^4

5^(2*-4)

5^-8

We know that a^-b = 1/a^b

1/5^8

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Martha has saved 2,700 to share with her family . She divides one -third of her saving equally between her two children , lola a
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Answer:

150

Step-by-step explanation:

one third of 2700 = 900

900/2 = 450

450/3 = 150

6 0
3 years ago
Write the equation – 2x2 + 1 = 5x in standard form
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Step-by-step explanation: brainlest please

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castortr0y [4]

Answer:

1. 4\frac{2}{3}

Step-by-step explanation:

For question 1, you need to know the ratio between the recipe and the amount in question.

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3 0
3 years ago
De moirve's <br> (√3-i ÷ √3+i)^6 = 1
bulgar [2K]

(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)

… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)

… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))

… = (2 - 2√3 <em>i</em> ) / 4

… = 1/2 - √3/2 <em>i</em>

… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))

… = exp(<em>i</em> arctan(-√3))

… = exp(-<em>i</em> arctan(√3))

… = exp(-<em>iπ</em>/3)

By DeMoivre's theorem,

[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1

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36,100 rounded to the nearest 10,000 and the nearest 10,000
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Answer:

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Step-by-step explanation:

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