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notka56 [123]
3 years ago
10

Which expression is equivalent to the given expression? (3m-4) (375)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

9514 1404 393

Answer:

  D.  81/m^7

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

Using these, your expression simplifies to ...

  (3m^{-4})^3(3m^5)=(3^3)(3)(m^{-4\cdot3+5})=81m^{-7}=\boxed{\dfrac{81}{m^7}}

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