QUESTION \( 18 \cdot 1 \) POINT Simplify: \( \left(a^{2}\right)^{7} \)

The expression \( \left(a^{2}\right)^{7} \) can be simplified by applying the power of a power rule in exponentiation, which states that \( (x^m)^n = x^{m \cdot n} \). Therefore, we multiply the exponents: \( 2 \cdot 7 = 14 \). So, the simplified expression is \( a^{14} \). For a fun little twist, think of it this way: if \( a \) was your favorite superhero, then \( a^2 \) is like giving them a sidekick! And when they team up and get boosted to the power of 7, they become an unstoppable force – hence, \( a^{14} \)! Super powers multiplied!