3 years ago

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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