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The power of one The simplest special case is that raising any number to the power of 1 doesnt do anything: x1=x.
Any exponent with a power of 1 equals the base, so 51 is 5, 71 is 7, and x1 is x. Any exponent with a power of 0 equals 1, so 50 is 1, and so is 70, x0, and any other exponent with a power of 0 you can think of.
Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = N, where is the decay constant.
Decay Ratio: DR = c/a (where c is the height of the second peak). 6. Period of Oscillation: P is the time between two successive peaks or two successive valleys of the response.
The formula for exponential decay is f(x) = abx, where b denotes the decay factor. In the exponential decay function, the decay rate is given as a decimal. The decay rate is expressed as a percentage.
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0:43 1:59 Why do negative powers mean one over x? - YouTube YouTube Start of suggested clip End of suggested clip First start with 1 over X to the a and well rewrite 1 as X to the 0. Power. And then you take theMoreFirst start with 1 over X to the a and well rewrite 1 as X to the 0. Power. And then you take the power on top subtract. The power on bottom and there you go you get negative a power.
The exponential growth and decay gives the required needed calculations using the formulas f(x) = a(1 + r)t, and f(x) = a(1 - r)t. Here a is the initial quantity, r is the growth or decay constant, and t is the time period or the time factor.
Calculations Using the First Order Rate Equation: r = k[N] Since the rate of radioactive decay is first order we can say: r = k[N]1, where r is a measurement of the rate of decay, k is the first order rate constant for the isotope, and N is the amount of radioisotope at the moment when the rate is measured.
Answer: Anything to the power of 1 equals the number itself. Lets solve this question step by step. Explanation: ing to the exponent rule, any number raised to the power of one equals the number itself.

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