Question

question
simplify:
$(-10x^4)^3$
answer attempt 1 out of 2
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Explanation:

Step1: Apply power of a product rule

$(ab)^n = a^n b^n$, so $(-10x^4)^3 = (-10)^3 \cdot (x^4)^3$

Step2: Calculate constant term power

$(-10)^3 = -1000$

Step3: Apply power of a power rule

$(x^m)^n = x^{m \cdot n}$, so $(x^4)^3 = x^{4 \times 3} = x^{12}$

Step4: Combine results

Multiply the constant and variable terms: $-1000 \cdot x^{12}$

Answer:

$-1000x^{12}$