Question

(2a⁵x⁴)×(-0,25ax²)×x², якщо а=-2; х=0,5​. СРОЧНО!!!!!

Answer 1

$2 {a}^{5} {x}^{4} \times ( - 0.25a {x}^{2} ) \times {x}^{2} = 2 \times ( - 0.25) \times {a}^{5} \times a \times {x}^{4} \times {x}^{2} \times {x}^{2} = - 0.5 \times {a}^{5 + 1} {x}^{4 + 2 + 2} = - 0.5 \times {a}^{6} \times {x}^{8} =...$

если $a = - 2$, $x = 0.5$, то

$... = - 0.5 \times {( - 2)}^{6} \times {(0.5)}^{8} = - \frac{1}{2} \times {2}^{6} \times {( \frac{1}{2} )}^{8} = - \frac{1}{2} \times {2}^{6} \times \frac{1}{ {2}^{8} } = - \frac{ {2}^{6} }{2 \times {2}^{8} } = - \frac{ {2}^{6} }{ {2}^{1 + 8} } = - \frac{ {2}^{6} }{ {2}^{9} } = - {2}^{6 - 9} = - {2}^{ - 3} = - {( \frac{1}{2} )}^{3} = - \frac{1}{ {2}^{3} } = - \frac{1}{8}$

или так:

$- \frac{1}{8} = - 0.125$