Question

(0.008)^-2/3
I solved it answer is 25 is it correct?

Answer 1

Step-by-step explanation:

${(0.008)}^{ - \frac{2}{3} } \\ \\ = {[(0.2)^{3}] }^{ - \frac{2}{3} } \\ \\ = {(0.2) }^{ -3 \times \frac{2}{3} } \\ \\ = {(0.2) }^{ - 2 } \\ \\= {(0.04) }^{ - 1 } \\ \\ = \frac{1}{0.04} \\ \\ = \frac{100}{4} \\ \\ = 25 \\ \\ thus \\ \\ \huge \orange{ \boxed{{(0.008)}^{ - \frac{2}{3} } = 25}}$

Your answer is absolutely correct.