Answered

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2^-5/-4^3
with work please

Sagot :

sqdancefan

9514 1404 393

Answer:

  -1/2048

Step-by-step explanation:

The Order of Operations tells you to evaluate each of the exponential expressions first. Then you do the division.

  = (1/32) / (-64)

  = -1/(32·64) = -1/2048

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You can also rewrite the expression in terms of powers of 2.

  2^-5/-4^3 = -1/((2^5)(2^2)^3) = -1/(2^5×2^6) = -1/2^11

  = -1/2048

_____

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  4 = 2^2

  2^5 = 32

  4^3 = 64

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