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

To simplify \( \left(x^{m}\right)^{n} \), you can use the power of a power property in exponents. Specifically, when you raise a power to another power, you multiply the exponents. So, \( \left(x^{m}\right)^{n} \) simplifies to \( x^{m \times n} \). This means that if you have, say, \( x^2 \) raised to the power of 3, it would be \( x^{2 \times 3} = x^6 \). When working with exponents, be cautious about improper use of the rules! A common mistake is thinking that you can just add the exponents instead of multiplying them. Remember, \( \left(x^{m}\right)^{n} = x^{m \cdot n} \), not \( x^{m+n} \). Always double-check your calculations to avoid such blunders!