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MaRussiya [10]
3 years ago
9

Which of the following would be equivalent to

Mathematics
1 answer:
faust18 [17]3 years ago
6 0

9514 1404 393

Answer:

  11·11^4

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a = a^1

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . . for any 'a' not 0

__

The given expression is ...

  (11^8)/(11^3) = 11^(8-3) = 11^5

The offered choices are ...

  (11^7)/(11^7) = 11^(7-7) = 11^0 = 1

  11·11^4 = (11^1)(11^4) = 11^(1+4) = 11^5 . . . . matches the given expression

  (11^0)/(11^5) = 11^(0-5) = 11^-5

  11^0 = 1

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