Answer:
Step-by-step explanation:
[tex](\frac{7^{-3}}{10})^{-2}=\frac{7^({-3*-2})}{10^{-2}}\\\\=\frac{7^{6}}{10^{-2}}\\\\=7^{6}*10^{2}[/tex]
[tex](a^{m})^{n}=a^{m*n}\\\\\frac{1}{a^{-m}}=a^{m}[/tex]
[tex] \bigg( \frac{ {7}^{ - 3} }{10} \bigg)^{ - 2} \\ \\ = \bigg( \frac{ 10}{{7}^{ - 3} } \bigg)^{ 2} \\ \\ = \bigg( { 10 \times{7}^{ 3} } \bigg)^{ 2} \\ \\ = \bigg( { 10^{ 2} \times{7}^{ 3 \times 2} } \bigg) \\ \\ = {7}^{ 6} \times 10^{ 2}[/tex]
