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Marianna [84]
3 years ago
12

Javier simplified the expression below. Find and describe the three mistakes he made.

Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

Answer:

x²¹ /64

Step-by-step explanation:

To know the mistake made by Javier, let us simplify the given expression. This can be obtained as follow:

(20x / 5x⁸)¯³ = (20x)¯³ / (5x⁸)¯³

= (5x⁸)³ / (20x)³

= 5³x²⁴ / 20³x³

= 125x²⁴ /8000x³

= 125x²⁴ ÷ 8000x³

Recall

Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ

Therefore,

125x²⁴ ÷ 8000x³ = (125/8000)x²⁴¯³

= (1/64) x²¹ = x²¹/64

Thus,

(20x / 5x⁸)¯³ = x²¹/64

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For this case we have that by definition it is fulfilled:

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Where:

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So, if we have the following expression:

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Answer:

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Step-by-step explanation:

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So, for this case;

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3 years ago
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Explanation:
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I hope this helps.
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