What is the value of the expression simplified in standard Notation: (3.2x10^-2) (4.2x10^6) / (5.2x10^5) <-(Fraction)
A. 0.0026
B. 0.00026
C. 2.6
D. 0.26
Let's first simplify the numerator:
(3.2x10^-2) (4.2x10^6) = (3.2 * 4.2) x (10^-2 * 10^6) = 13.44 x 10^4
Now the expression becomes:
13.44 x 10^4 / 5.2 x 10^5
Since division with the same base (10 in this case) means we subtract the exponents:
13.44 / 5.2 x 10^(4-5) = 13.44 / 5.2 x 10^-1 = 2.5846153846 x 10^-1 = 0.25846153846
Therefore, the value of the expression is approximately 0.26.
Therefore, the correct option is:
D. 0.26