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

Answer Link

Otras preguntas

what are three ways water erodes the surface of earth
36 is _______% less than 60?
what type of rock is the Haystack rock (igneous, Metamorphic, or Sedimentary)
What were the 4 major truths Jefferson presented in the declaration of independence?
how have computers changed mapmaking in recent years
What's breed of given cat???Check attachment
what type of rock is the Haystack rock (igneous, Metamorphic, or Sedimentary)
A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 h
what type of rock is the Haystack rock (igneous, Metamorphic, or Sedimentary)
what type of rock is the Haystack rock (igneous, Metamorphic, or Sedimentary)