Question

$(-a)^{4} cdot a^{5} cdot -a^{2} cdot (-a)^{2}$

Explanation:

Step1: Simplify each power term

$(-a)^4 = a^4$, $(-a)^2 = a^2$
Rewriting the expression: $a^4 \cdot a^5 \cdot (-a^2) \cdot a^2$

Step2: Combine like terms with exponents

When multiplying terms with the same base, add exponents:
$a^{4+5+2+2} \cdot (-1)$

Step3: Calculate total exponent

$4+5+2+2 = 13$
Expression becomes: $-a^{13}$

Answer:

$-a^{13}$