Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
Since we are dividing indices here with fractions, we apply the rule to minus the indices from each other when dividing. So,
[tex]\frac{3}{4} ^{6} -\frac{3}{4} ^{3}[/tex] = [tex]\frac{3}{4}^{6-3}[/tex] = [tex]\frac{3}{4}^{3}[/tex] = [tex]\frac{3 * 3 * 3}{4 * 4 * 4}[/tex] = [tex]\frac{27}{64}[/tex]
