# How do you simplify (49/16)^(-3/2)?

It is ${\left(\frac{49}{16}\right)}^{- \frac{3}{2}} = {\left[{\left(\frac{7}{4}\right)}^{2}\right]}^{- \frac{3}{2}} = {\left(\frac{7}{4}\right)}^{2 \cdot \left(- \frac{3}{2}\right)} = {\left(\frac{7}{4}\right)}^{- 3}$