To simplify and write the expression in usual form, we can perform the calculations and simplify the terms with exponents.
Let's break down the expression step by step:
((5.5 * 10^-4)(6 * 10^7))/((3.3 * 10^-6) * (2 * 10^4)^2)
First, we can multiply the numerators and denominators separately:
= (5.5 * 6 * 10^-4 * 10^7) / (3.3 * 10^-6 * 2^2 * (10^4)^2)
= (33 * 10^3 * 10^-4 * 10^7) / (3.3 * 10^-6 * 4 * 10^8)
Next, let's simplify the terms with exponents:
= (33 * 10^(3-4+7)) / (3.3 * 10^(-6-8))
= (33 * 10^6) / (3.3 * 10^-14)
Now, we can simplify further by dividing the coefficients and subtracting the exponents:
= (33 / 3.3) * 10^(6 - (-14))
= 10 * 10^20
Finally, we can write the expression in usual form:
= 10^1 * 10^20
= 10^(1 + 20)
= 10^21
Therefore, the simplified expression in usual form is 10^21.