Calculate. \[ \left(-5.0 \times 10^{12}\right)^{2} \] Write your answer in scientific notation

To calculate \(\left(-5.0 \times 10^{12}\right)^{2}\), we start by squaring the coefficient and the exponent separately: 1. Squaring the coefficient: \((-5.0)^{2} = 25.0\) 2. Squaring the exponent: \((10^{12})^{2} = 10^{24}\) Now, we combine the results: \[ 25.0 \times 10^{24} \] To express this in proper scientific notation, we convert \(25.0\) into \(2.5\) (which is between 1 and 10) and adjust the exponent accordingly by adding 1 to the exponent of 10: \[ 25.0 \times 10^{24} = 2.5 \times 10^{25} \] Thus, the final answer is: \[ \boxed{2.5 \times 10^{25}} \]