Regroup: $\displaystyle{\left(\frac{{2.4}}{{5}}\right)}{\left(\frac{{{{10}}^{{8}}}}{{{{10}}^{{-{{6}}}}}}\right)}\usepackage{cmbright}\Huge\$

Divide the numbers: $\displaystyle{\left({0.48}\right)}{\left(\frac{{{{10}}^{{8}}}}{{{{10}}^{{-{{6}}}}}}\right)}\usepackage{cmbright}\Huge\$

Use the quotient rule: $\displaystyle{0.48}\times{{10}}^{{{8}-{\left(-{6}\right)}}}={0.48}\times{{10}}^{{14}}\usepackage{cmbright}\Huge\$

Convert 0.48 into scientific notation: $\displaystyle{\left({4.8}\times{{10}}^{{-{{1}}}}\right)}\times{{10}}^{{14}}\usepackage{cmbright}\Huge\$

Regroup and use the product rule: $\displaystyle{4.8}\times{\left({{10}}^{{-{{1}}}}\times{{10}}^{{14}}\right)}={4.8}\times{{10}}^{{-{1}+{14}}}={4.8}\times{{10}}^{{13}}\usepackage{cmbright}\Huge\$