Question

Simplify

(2x^4)^-2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (2x^4)^-2, we can use the property of negative exponents, which states that a negative exponent can be rewritten as the reciprocal of the corresponding positive exponent.

Therefore, (2x^4)^-2 can be simplified as (1/(2x^4)^2).

The exponent 2 will be applied to both 2 and x^4.

Solving (1/(2x^4)^2) further, we get 1/(2^2 * x^4^2) = 1/(4 * x^8).

So, the simplified form of (2x^4)^-2 is 1/(4 * x^8).