d. \( \left(7.2 \times 10^{3}\right) \div\left(1.2 \times 10^{5}\right) \)

To solve \( \left(7.2 \times 10^{3}\right) \div\left(1.2 \times 10^{5}\right) \), you can start by dividing the coefficients and then handling the powers of ten. Dividing the coefficients: \( 7.2 \div 1.2 = 6 \). For the powers of ten: \( 10^{3} \div 10^{5} = 10^{3-5} = 10^{-2} \). Therefore, the final result is \( 6 \times 10^{-2} \) or \( 0.06 \). Now, a fun fact: In scientific notation, you can easily manage really big or small numbers without getting overwhelmed! It’s like a secret code for math nerds. Imagine explaining to your friends how \( 0.0001 \) becomes \( 1 \times 10^{-4} \); it’s a whole new world! Also, one small pitfall people often face is not aligning the exponent correctly when dividing. Always remember: when you divide terms with the same base, subtract the exponents. If you remember this little trick, you’ll dodge those common mistakes and fly through scientific notation like a pro!