Question

simplify:
$(-2x)^4$
a. $-16x^4$
b. $-8x^4$
c. $-2x^4$
d. $8x^4$
e. $16x^4$

Explanation:

Step1: Apply exponent rule to \((-2x)^4\)

Using the power of a product rule \((ab)^n = a^n b^n\), we have \((-2x)^4 = (-2)^4 \cdot x^4\).

Step2: Calculate \((-2)^4\)

\((-2)^4 = (-2) \times (-2) \times (-2) \times (-2) = 16\).

Step3: Combine results

Substitute \((-2)^4 = 16\) back, so \((-2x)^4 = 16x^4\).

Answer:

E. \(16x^4\)