Calculate $17.17$ to the power of $-5$ and get $\frac{10000000000}{14922839767048357}$.
$$\frac{10000000000}{14922839767048357}=17^{-3}\text{ and }17^{-3}=\frac{1}{17^{3}}$$
Calculate $17$ to the power of $-3$ and get $\frac{1}{4913}$.
$$\frac{10000000000}{14922839767048357}=\frac{1}{4913}\text{ and }17^{-3}=\frac{1}{17^{3}}$$
Least common multiple of $14922839767048357$ and $4913$ is $14922839767048357$. Convert $\frac{10000000000}{14922839767048357}$ and $\frac{1}{4913}$ to fractions with denominator $14922839767048357$.
$$\frac{10000000000}{14922839767048357}=\frac{3037419044789}{14922839767048357}\text{ and }17^{-3}=\frac{1}{17^{3}}$$
Compare $\frac{10000000000}{14922839767048357}$ and $\frac{3037419044789}{14922839767048357}$.
$$\text{false}\text{ and }17^{-3}=\frac{1}{17^{3}}$$
Calculate $17$ to the power of $-3$ and get $\frac{1}{4913}$.
$$\text{false}\text{ and }\frac{1}{4913}=\frac{1}{17^{3}}$$
Calculate $17$ to the power of $3$ and get $4913$.
$$\text{false}\text{ and }\frac{1}{4913}=\frac{1}{4913}$$
Compare $\frac{1}{4913}$ and $\frac{1}{4913}$.
$$\text{false}\text{ and }\text{true}$$
The conjunction of $\text{false}$ and $\text{true}$ is $\text{false}$.
