Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
Note that
[tex]64^{\frac{1}{2} }[/tex] = [tex]\sqrt{64}[/tex] = 8, and
[tex]10^{-2}[/tex] = [tex]\frac{1}{10^{2} }[/tex] = [tex]\frac{1}{100}[/tex]
Thus the expression simplifies to
8 × [tex]\frac{1}{100}[/tex]
= [tex]\frac{8}{100}[/tex] ← cancel numerator/denominator by 4
= [tex]\frac{2}{25}[/tex] ← in simplest form
