Question

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

Answer 1

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

Answer 2

`(x^(12))/(64)`

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)=(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 (x^(12))/(64)`

Hence, The simplified expression is
`\Rightarrow (x^(12))/(64)`