(1) Simplify. (-4x^4cdot 3x^7)/(6(x^5))^(2) -6x^5 -2x^46 -2x^5 -2x^8

To simplify \( \frac{-4 x^{8} \cdot 3 x^{7}}{6\left(x^{5}\right)^{2}} \):<br /><br />1. Multiply the terms in the numerator:<br /> \[ -4 x^{8} \cdot 3 x^{7} = -12 x^{15} \]<br /><br />2. Simplify the denominator:<br /> \[ 6 (x^5)^2 = 6 x^{10} \]<br /><br />3. Combine the numerator and the denominator:<br /> \[ \frac{-12 x^{15}}{6 x^{10}} \]<br /><br />4. Simplify the fraction:<br /> \[ \frac{-12}{6} \cdot \frac{x^{15}}{x^{10}} = -2 x^{15-10} = -2 x^5 \]<br /><br />The simplified expression is:<br />\[ -2 x^5 \]