Evaluate the expression using exponential rules. Write the result in standard notation.
5x10^-2 over 10x10^2
To evaluate the expression (5x10^-2) / (10x10^2) using exponential rules, we can simplify the numerator and denominator separately:
Numerator: 5x10^-2 = 5/10^2 = 5/100 = 0.05
Denominator: 10x10^2 = 10^1x10^2 = 10^(1+2) = 10^3 = 1000
So the expression simplifies to 0.05 / 1000.
To write this in standard notation, we divide 0.05 by 1000, which gives us:
0.05 / 1000 = 0.00005