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BARSIC [14]
3 years ago
5

Can You please help me cause I'm gangsta Simplify (5^-2)^4 ​

Mathematics
1 answer:
sp2606 [1]3 years ago
5 0

Answer:

( 5 ^ -2)^4

= 5 ^ -8

= 1 /5^8

= 1 / 390,625

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Dominik [7]

Answer:

68 degrees

Step-by-step explanation:

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3 years ago
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A fruit market received a shipment of apples. The market sold them in bags with 14 apples in each bag. It sold 24 bags of apples
agasfer [191]
The answer is 462 apples was in the shipment or 33 bags!
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Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

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Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

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(A ∪ B)' = A' ∩ B'

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Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

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A ∩ (A ∪ B)' = ∅.

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<h2>Note that this problem can be approached in many ways. For instance, we can add to the b² term instead of changing the middle term...</h2>
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