(3.6times 10^5)(6.3times 10^-3)

To multiply these two numbers, we can use the properties of exponents and multiplication.<br /><br />$(3.6\times 10^{5})(6.3\times 10^{-3})$<br /><br />First, multiply the coefficients (the numbers in front of the powers of 10):<br /><br />$3.6 \times 6.3 = 22.68$<br /><br />Next, multiply the powers of 10 by adding their exponents:<br /><br />$10^{5} \times 10^{-3} = 10^{5 + (-3)} = 10^{2}$<br /><br />Now, combine the results:<br /><br />$22.68 \times 10^{2}$<br /><br />Finally, express the result in standard form:<br /><br />$22.68 \times 10^{2} = 2.268 \times 10^{3}$<br /><br />So, the final answer is:<br /><br />$2.268 \times 10^{3}$