Correct. Regroup and divide: $\displaystyle{\left(\frac{{3}}{{6}}\right)}{\left(\frac{{{10}}^{{8}}}{{{10}}^{{-{{7}}}}}\right)}={\left({0.5}\right)}{\left(\frac{{{10}}^{{8}}}{{{10}}^{{-{{7}}}}}\right)}\usepackage{cmbright}\Huge\$

Use the quotient rule: $\displaystyle{\left({0.5}\right)}\times{{10}}^{{{8}-{\left(-{7}\right)}}}={\left({0.5}\right)}\times{{10}}^{{15}}\usepackage{cmbright}\Huge\$

Convert 0.5 into scientific notation, regroup, and use the product rule: $\displaystyle{5}\times{\left({{10}}^{{-{{1}}}}\times{{10}}^{{15}}\right)}={5}\times{{10}}^{{-{1}+{15}}}={5}\times{{10}}^{{14}}\usepackage{cmbright}\Huge\$