Question

Find an expression equivalent to the one shown below.

Answer 1

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

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Using these rules, your expression simplifies to ...

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