(c) Calculate \( \left(6.3 \times 10^{5}\right) \times\left(2.5 \times 10^{-2}\right) \) Give your answer in standard form.

To solve \( \left(6.3 \times 10^{5}\right) \times\left(2.5 \times 10^{-2}\right) \), you multiply the coefficients (6.3 and 2.5) and add the exponents of the powers of 10. 1. **Multiply the coefficients**: \( 6.3 \times 2.5 = 15.75 \) 2. **Add the exponents**: \( 10^{5} \times 10^{-2} = 10^{5 + (-2)} = 10^{3} \) Now, combine them: \( 15.75 \times 10^{3} \) Next, convert 15.75 into standard form. Since 15.75 is not between 1 and 10, we rewrite it: \( 15.75 = 1.575 \times 10^{1} \) Now substitute back into the equation: \( 1.575 \times 10^{1} \times 10^{3} = 1.575 \times 10^{4} \) Thus, the final answer is: \( 1.575 \times 10^{4} \)