An exponential function is of the form , where,.
Now, if a > 0 and b > 1, then the exponential function represent exponential growth.
If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.
Let us check each function now.
As 0.07 < 1, the function is exponential decay.
As 0.44 < 1, the function is exponential decay.
As 6 > 1, the function is exponential growth.
As , the function is exponential decay.
Therefore, the equation that represent exponential growth is
example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.
b) 1/3 * 1/5
each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5