6x10^-5x700 divided by 4x10^5x1.5x10^7 simplify using scientific notation/
6x10^-5 * 700 = (6*7)x10^(-5+2) = 42x10^-3
4x10^5 * 1.5x10^7 = (4*1.5)x10^(5+7) = 6x10^12
Now just divide as usual
To simplify the expression (6x10^-5x700) divided by (4x10^5x1.5x10^7) using scientific notation, we can follow these steps:
Step 1: Observe the numerical coefficients (6 and 4), and multiply them together: 6 x 4 = 24.
Step 2: Multiply the powers of 10 together: 10^-5 x 10^5 = 10^0 = 1. Similarly, 10^7 x 10^5 = 10^12.
Step 3: Simplify the numerical part with scientific notation: 24/1.5 = 16.
Step 4: Simplify the power of 10: 10^0 ÷ 10^12 = 10^0-12 = 10^-12.
Step 5: Combine the numerical part and the power of 10: 16 x 10^-12.
Therefore, the simplified expression in scientific notation is 16x10^-12.