Laws of exponents

Potenz, /. power, -gefall(e), n. Potential-gefall(e). -gesetz, n. Math.) law of exponents. 

Table 3.2. The required CPU-time on DEC 8400 workstations obeys a power law of exponent 1.81 0.02 in the number of involved chains as can be seen in Fig. 3.16. In this case, the scaling behavior is less favorable than the theoretical scaling behavior of exponent 1, which is rationalized by Muller et al. [115].

You can use these laws of exponents with scientific notation. 

For this problem, handle the decimal portions separately from the powers of 10 portion. Divide 1.44 by 1.2, which is 1.2. Then use the laws of exponents for the powers of 10 = 108 6 = 102. The prob-... 

To use the scientific notation of numbers in mathematical operations, we must remember the laws of exponents. 

Because logarithms are exponents, we have the following logarithm laws that are derived from the laws of exponents given on page 8. Let A and B be any two numbers. 

We take for 9iey(o)) the same function we used in our previous study of aging effects in anomalous diffusion—that is, a function behaving like a power-law of exponent 5 — 1 with 0 < 8 < 2 ... 

Because logarithms are exponents, they have an intimate connection with exponential functions and with the laws of exponents. 

---