To write repeated multiplication in an exponential notation, you should write the number that has to be multiplied as the base. Count the number of times that the number is used.
The exponent indicates the number of times the base is used as a factor.
An exponent of 1 can be ignored. In the same way that multiplication by 1 can be ignored.
Multiplication
1105 221,5 17,13,5
20000 using the exponent of 4 = 11.89214fourth root of 20000 = 11.8921
powers, or exponent
5 x 5 x 5 x 5 = 625
Power
The exponent indicates the number of times the base is used as a factor.
An exponent of 1 can be ignored. In the same way that multiplication by 1 can be ignored.
Power of a number can be evaluated using repeated multiplication of the number by itself. For example, 5 to the third power can be evaluated using multiplication of 5 by itself for three times as shown below. 53 = 5 x 5 x 5 The power or exponent of a number says how many times a number has to be multiplied repeatedly by itself.
Base and exponent are the two parts of a power. The base is the lower left, normal-sized, number. The exponent is the upper-right, small (i.e., superscript) number. For example, in: 34 3 is the base, 4 is the exponent. In the simplest case, a power specifies a repeated multiplication. The base tells you what number to multiply by itself, the exponent tells you how many times to multiply it. Thus, 34 = 3 x 3 x 3 x 3 (that is, multiply 3 by itself, using the number 4 times as a factor)
Well, isn't that just a happy little question! To convert a decimal fraction to binary using repeated multiplication by 2, you can multiply the decimal part by 2 and write down the whole number part of the result. Then, take the decimal part of the result and repeat the process. Keep doing this until the decimal part becomes 0 or until you reach the desired level of precision. Just remember, there are no mistakes, just happy little accidents in the world of math!
Multiplication
With repeated multiplication.
3,888 = 24 x 35
1) Find the prime factors. For example, 12 = 2 x 2 x 3. 2) Replace all repeated prime factors by a single copy of the prime factor, and an exponent that specifies how often the prime factor is repeated. For example, 2 x 2 x 3 = 22 x 3.