Gracealvarez85 Gracealvarez85
  • 12-03-2020
  • Mathematics
contestada

Find an expression equivalent to the one shown below.
6^8•(6^10)^-4
A)6^32
B)6^48
C)1/6^32
D)1/6^48

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 12-03-2020

Answer:

  C)  1/6^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(b·c)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

_____

Using these rules, your expression simplifies to ...

  6^8·6^(10(-4)) = 6^8·6^-40 = 6^(8-40) = 6^-32 = 1/6^32

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