Final answer:
Multiply the coefficients (3 and 7.2) to get 21.6, then add the exponents of the powers of 10 (4 and 2) to get 10^6, and combine the results to form 21.6 x 10^6, which in standard form is 21,600,000.
Step-by-step explanation:
To write the expression (3x10^4)(7.2x10^2) in standard form, we will use properties of exponents to multiply the numbers.
Firstly, we multiply the coefficients (the numbers in front of the powers of 10), 3 and 7.2:
3 × 7.2 = 21.6
Then, we add the exponents of the powers of 10, since when multiplying powers with the same base, we add the exponents:
10^4 × 10^2 = 10^(4+2) = 10^6
Now, we combine these two results to get the final answer in scientific notation:
21.6 × 10^6
Then, to express this in standard form, we need to convert this scientific notation to a whole number:
21,600,000