Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

(1 point) The expression
where n, the leading coefficient, is:
and r, the exponent of a, is: 3
and S, the exponent of b, is: 10
and finally t, the exponent of c, is: 15
(5b¹c-5)-³(4b⁰a²)-5 equals na'bs ct
I
NOTE: The value for n may be given as a fraction or as a just number. All other values must be
Note: You can earn partial credit on this problem.
Preview My Answers
our score was recorded.
Submit Answers

1 Point The Expression Where N The Leading Coefficient Is And R The Exponent Of A Is 3 And S The Exponent Of B Is 10 And Finally T The Exponent Of C Is 15 5bc54 class=

Sagot :

sqdancefan

Answer:

  • n = 1/128000
  • r = -10
  • s = -3
  • t = 15

Step-by-step explanation:

You want the simplified form of (5b^1c^-5)^-3(4b^0a^2)^-5.

Rules of exponents

There are several useful rules of exponents here:

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  a^-b = 1/(a^b)

Application

Simplifying the top-level exponents first, we have ...

  [tex](5b^1c^{-5})^{-3}(4b^0a^2)^{-5}=(5^{-3}b^{1(-3)}c^{(-5)(-3)})(4^{-5}b^{0(-5)}a^{2(-5)})\\\\=(5^{-3}4^{-5})a^{-10}b^{-3+0}c^{15}=\dfrac{1}{5^34^5}a^{-10}b^{-3}c^{15}=\boxed{\dfrac{1}{128000}a^{-10}b^{-3}c^{15}}[/tex]

In terms of answer requirements:

  n = 1/128000

  r = -10

  s = -3

  t = 15

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.