10^7
32 The small number two is called the power, exponent or superscript and indicates how many times you multiply the large number
Rewriting a number in its expanded form with exponents helps you to better understand scientific notation. When determining what exponent to use for a power of ten, look at how many zeroes you have. For example, if the number is 1,000, which has three zeroes, it is 10 to the third power.
using the lanugaes of bases and exponents, develope a simple method for predicting how many computers will be in a particular level of the network.
i am obvious about this situation
10^7
2^5 2(4^2) 4(2^3) and there are many more
32 The small number two is called the power, exponent or superscript and indicates how many times you multiply the large number
You can write it as 103. That would be the most common way, but there's many other correct ways to write it.
24 42
The prime factorization of one billion using exponents is 2^9 x 5^9
Rewriting a number in its expanded form with exponents helps you to better understand scientific notation. When determining what exponent to use for a power of ten, look at how many zeroes you have. For example, if the number is 1,000, which has three zeroes, it is 10 to the third power.
There are really infinitely many ways to write 4x4 in exponents, but consider what 4x4 really means and what an exponent is. First, an exponent states how many times a number is multiplied by itself, such as 3^2, or 3 "squared", meaning that the result is 3x3. With this in mind, look back at 4x4. Since the number multiplied is the same, we can write it using exponents. In this case, we are going to have 4^2, or four "squared". This is of course only one example, but I'm sure that that will likely be sufficient for your purposes.
Exponents just count how many times each factor is used. 900 450,2 225,2,2 75,3,2,2 25,3,3,2,2 5,5,3,3,2,2 2 x 2 x 3 x 3 x 5 x 5 = 900 2^2 x 3^2 x 5^2 = 900
none.
If you know the prime factorization of a number, you can tell how many factors it has. Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors. 10 = 2 x 5 = 21 x 51 2 x 2 = 4 10 has four factors.
The exponent tells how many times the base is used as a factor. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 Using exponents, that would be written as 2^3 x 3^2