Simplify \( \left( x^3 \right)^2 \).
Simplify \[\large \left(a^3\right)^2 \div \left(a^2\right)^3. \]
Given \(2^N = 4 ^{10} \), what is the value of \(N\)?
\[ a^3 \times \left( a^{\square} \right)^5 = a^{18} \]
Find the value of \( \square \).
What is the volume of a cube with an edge length of \(a^2\)?