Question

question simplify: $(-8x^{5})^{3}$

Explanation:

Step1: Apply power - of - a - product rule

$$(-8x^{5})^{3}=(-8)^{3}\times(x^{5})^{3}$$

Step2: Calculate $(-8)^{3}$

$(-8)^{3}=(-8)\times(-8)\times(-8)= - 512$

Step3: Apply power - of - a - power rule for $(x^{5})^{3}$

$(x^{5})^{3}=x^{5\times3}=x^{15}$

Step4: Combine results

$(-8)^{3}\times(x^{5})^{3}=-512x^{15}$

Answer:

$-512x^{15}$