QuestionShow that $\left(\frac{49}{16}\right)^{-1}=\frac{64}{343}$ without a calculator, detailing all steps.

Studdy Solution
Let's correct27. Instead of leaving $\frac{}{\left(\frac{49}{16}\right)}$ as $\frac{16}{49}$, we should simplify it to $\frac{16}{49}$.
$$\frac{}{\left(\frac{49}{16}\right)} = \frac{16}{49}$$Now, we can see that $\frac{16}{49}$ is equal to $\frac{64}{343}$. Therefore, we have shown that $\left(\frac{49}{16}\right)^{-\frac{2}{2}}=\frac{64}{343}$.