(7x10^4)x(5x10^2)
To multiply these numbers, we need to multiply 7 by 5 and then add the exponents:
7 x 5 = 35
10^4 x 10^2 = 10^(4+2) = 10^6
So, (7x10^4)x(5x10^2) = 35x10^6
To simplify the expression (7x10^4) x (5x10^2), we can first multiply the numerical coefficients (7 and 5) and then multiply the exponents of 10.
Step 1: Multiply the numerical coefficients:
7 x 5 = 35
Step 2: Multiply the exponents of 10:
10^4 x 10^2 = 10^(4+2) = 10^6
Combining the results from step 1 and step 2, we get:
(7x10^4) x (5x10^2) = 35 x 10^6
Therefore, the simplified expression is 35 x 10^6.
To multiply numbers written in scientific notation like (7x10^4) and (5x10^2), you can follow these steps:
Step 1: Multiply the coefficients (the numbers in front of the powers of 10). In this case, multiply 7 and 5 to get 35.
Step 2: Multiply the powers of 10. Add the exponents. In this case, add 4 and 2 to get 6.
Step 3: Write the answer by combining the product of the coefficients with the product of the powers of 10. The final answer will be 35x10^6.
Therefore, (7x10^4) multiplied by (5x10^2) equals 35x10^6.