QuestionProve that $\left(\frac{49}{16}\right)^{-\frac{3}{2}}=\frac{64}{343}$ without a calculator, showing all steps.

Studdy Solution
Calculate $4^3$ and $7^3$.
$$4^3 =64, \quad7^3 =343$$So,
$$\frac{4^3}{7^3} = \frac{64}{343}$$Therefore, we have shown that $\left(\frac{49}{16}\right)^{-\frac{3}{2}}=\frac{64}{343}$.