In general, how would you simplify \( \left(x^{m}\right)^{n} ? \)

To simplify \( \left(x^{m}\right)^{n} \), you can use the power of a power property in exponents. This property states that when you raise a power to another power, you multiply the exponents. So, \( \left(x^{m}\right)^{n} = x^{m \cdot n} \). It's like stacking blocks: each layer of blocks (the exponent) gets multiplied when you build higher! A common mistake people make is forgetting to multiply the exponents and instead just adding them. Remember, we're multiplying here! So if you see \( \left(x^{2}\right)^{3} \), don’t make the slip of turning it into \( x^{2+3} \) – that’s incorrect! Instead, it simplifies to \( x^{2 \cdot 3} = x^{6} \).