Mathematics: Simplify (4x–^ 4)^– 3 a. x^12/64 b. –8x^12 c. -1/2x^4 d. –64x^9 if you explain how you got it : )

30 is the range, you take the maximum and subtract the minimum...

Simplify (4x–^ 4)^– 3 a. x^12/64 b. –8x^12 c. -1/2x^4

kaitlyn1152

11.03.2022

The correct option is: A. $\frac{x^1^2}{64}$

Step-by-step explanation:

Given expression is: (4x^-^4)^-^3

First we will apply the outer exponent -3 with both 4 and x^-^4 inside the parenthesis. So, we will get: (4)^-^3(x^-^4)^-^3

Now, $(4)^-^3 = \frac{1}{(4)^3}= \frac{1}{64}$

and (x^-^4)^-^3= x^(^-^4^)^(^-^3^) = x^1^2

Thus, $(4)^-^3(x^-^4)^-^3 = (x^1^2)(\frac{1}{64})= \frac{x^1^2}{64}$

So, the simplified answer is $\frac{x^1^2}{64}$

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