Question

Simplify (4x–^ 4)^– 3 A. x^12/64 B. –8x^12 C. -1/2x^4 D. –64x^9

Brainly if you explain how you got it :)

Answer 1

Answer:

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  $\frac{x^1^2}{64}$