Question

Simplify (4x– 4)– 3. A. –64x9 B. –8x12 C. D.

Answer 1

(4x - 4) - 3 simplified = 4x -7

Answer 2

Answer:

$\dfrac{x^{12}}{64}$

Step-by-step explanation:

Given: $(4x^{-4})^{-3}$

We need to simplify it

Here we have exponent of exponent

Exponent law:

$(a^m)^n=a^{mn}$

$a^{-m}=\dfrac{1}{a^m}$

First we distribute the exponent -3 with each term inside the bracket.

$\Rightarrow (4x^{-4})^{-3}$

$\Rightarrow 4^{-3}(x^{-4})^{-3}$

$\Rightarrow 64^{-1}x^{-4\cdot -3}$

$\Rightarrow 64^{-1}x^{12}$

$\Rightarrow \dfrac{x^{12}}{64}$

Hence, The simplified expression is $\Rightarrow \dfrac{x^{12}}{64}$