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ikadub [295]
3 years ago
8

Simplify (3b^8 b^-2)^3

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

  27b^18

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

___

(3b^8·b^-2)^3 = (3b^(8-2))^3 = (3b^6)^3

  = 3^3·b^(6·3)

  = 27b^18

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Complete question is;

A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

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Step-by-step explanation:

We are told that:

R = -2.5p² + 500p, where p is the price in dollars of the software.

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