(7.5x10^3) ÷ (1.5x10^4)

(7.5 / 1.5) x 10^(3 - 4)

To divide numbers written in scientific notation, you need to divide the coefficients and subtract the exponents. Let's break down the steps to solve the expression (7.5x10^3) ÷ (1.5x10^4):

Step 1: Divide the coefficients
Divide 7.5 by 1.5: 7.5 ÷ 1.5 = 5

Step 2: Subtract the exponents
Subtract the exponent of the divisor (10^4) from the exponent of the dividend (10^3): 10^3 - 10^4 = 10^-1

Step 3: Combine the result
Combine the coefficient from the division (5) with the new exponent (-1) to obtain the final expression: 5x10^-1

In decimal form, this result can also be written as 0.5.