Jammu and Kashmir Board Solutions for Chapter: Exponents and Powers, Exercise 1: Exercise 13.1

Express $5\times 5\times 7\times 7\times 7$ in exponential form.

If $512$ in exponential notation is $2^k$, find $k$.

If $343$ in exponential notation is $7^k$, find $k$.

If $729$ in exponential notation is $3^k$, find $k$.

The greatest number among $4^3$ and $3^4$ is $a^b$, find $a-b$.

The greatest number among $5^3$ and $3^5$ is $a^b$, find $a-b$.

The greatest number among $2^8$ and $8^2$ is $a^b$, find the value of $a-b$.

Express $3600$ as product of powers of their prime factors.