Question

Simplify: (-2/5)raised to power 3 * (-1/4)raised to power3

Answer 1

Answer:

0.001

Step-by-step explanation:

${( \frac{ - 2}{5}) }^{3} \times {( \frac{ - 1}{4} )}^{3} \\ \\ {( \frac{a}{b}) }^{m} \times {( \frac{x}{y} )}^{m} = {( \frac{a \times x}{b \times y} )}^{m} \\ \\ {( \frac{ - 2 \times - 1}{5 \times 4}) }^{3} \\ \\ {( \frac{2}{20} )}^{3} \\ \\ \frac{2 \times 2 \times 2}{20 \times 20 \times 20} \\ \\ \frac{8}{8000} \\ \\ \frac{1}{1000} \\ \\ 0.001$