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e-lub [12.9K]
3 years ago
6

Plz answer the below question brainliest will be awarded and u will get points too .

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

x^{-1}= \frac{1}{486}

Step-by-step explanation:

Anything to the -1 is just the reciprocal of that thing. If it's -2, it's the reciprocal squared; -3 is reciprocal cubed, etc.

We can figure this out by solving for x, then finding the reciprocal:

x=(\frac{1}{4})^{-3} \times (\frac{2}{3})^{-5}\\x=(\frac{4}{1})^{3} \times (\frac{3}{2})^{5}\\x=64 \times (\frac{243}{32})\\x=2 \times 243\\x=486\\\\x^{-1}=486^{-1}\\x^{-1}= \frac{1}{486}

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