What is half of $2^{10}$? Ragu claims, the answer is $2^5$. Is he correct? Discuss.

The exponential form of ${23}^5÷{23}^2$ is ${23}^k$ in simplified form, find the value of $k$.

Simplified exponential form of ${11}^6÷{11}^3$ is ${11}^k$, find the value of $k$.

Simplified exponential form of  $(-5{)}^3÷(-5{)}^2$ is ${\left(-5\right)}^k$, find the value of $k$.

Simplified exponential form of $7^3÷7^3$ is $7^k$, find the value of $k$.

Simplified exponential form of ${15}^4÷15$ is ${15}^k$, find the value of $k$.

Simplified exponent form of ${\left(3^2\right)}^3$ is $3^k$, find the value of $k$.

Simplify and write ${\left[(-5{)}^3\right]}^2$ in expanded form.

Simplified exponential form of ${\left({20}^6\right)}^2$ is ${20}^k$, find the value of $k$.