Given a real number x and a positive integer k, determine the number of multiplications used to find x2k starting with x 24 2k and successively squaring (to find x , x , and so on). Is this a more efficient way to find x than by multiplying x by itself the appropriate number of times

In 1st case the multiplication is to be done for the k times, in the second case the number of multiplication is given as times.

As the value of k will always be less than that of  , thus the case 1 is an efficient way of finding the values.

Step-by-step explanation:

Case No 1 is given as:

In this case  the value of is found by subsequent squaring such that

So in this case the multiplication is to be done for the k times.

Case No 2 is given as

So in this case the number of multiplication is given as times.

As the value of k will always be less than that of  , thus the case 1 is an efficient way of finding the values.

easy math just plug in a and b

step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.