Question

${0.04}^{ - 1.5}$

Answer 1

$0.04 = {0.2}^{2} \\ {0.04}^{ - 1.5} = {{(0.2}^{2} )}^{ - 1.5} \\ \: = {0.2}^{2 \times - 1.5} \\ \: = {0.2}^{ - 3} \\ \: = \frac{1}{ {0.2}^{3} } \\ \: = \frac{1}{0.008} \\ \: = \frac{1000}{8} \\ \: = 125$

therefore
0.04^[-1.5] = 125