Question

Which is the value of this expression when m=3 and n=-5? (6m^-1 n^0)^-3

A:-8
B:-1/8
C:1/8
D:8​

Answer 1

The answer is C.

Explanation:

I would simplify the expression first.

Equation: (6m^-1)^-3

You can get rid of n^0 because that equals 1.

Any expression raised to the power of -1 equals its reciprocal.

Equation: (6/m)^-3

Equation: (m/6)^3

Final Equation: m^3/216

Now, plug in 3.

(3)^3/216.

27/216 = 1/8

Hope this helps!