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Q: The repeated factor of a number written in exponential form?

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The number that is a repeated factor when written in the power operation is called the base

A repeated factor, f, of a number, n, written in exponential form denotes how many times n divides f. If n divides f t times, then f^t is a factor of n. Ex. The number 192 has a prime factorization 2, 2, 2, 2, 2, 2, 3 which can be written as 2^6, 3 where (2^6)(3) = 192

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 base is the repeated factor, the exponent is the number of times by which the base is mutltiplied by itself. The exponent is also known as the power, althought the product of the exponential expression can also be described as the power.

The answer could be exponential representation but, given the limited amount of information in the question, it is hard to be sure.

When we multiply two or more numbers we call them factors, and the result a product. If we multiply the same number a several time, we call it a repeating multiplication, where the factor is the number itself. For example, 5*5*5*5*5*5. In this multiplication the number 5 (or the factor 5) appears 6 times. We use the exponential form 56 as a short hand to represent this repeated multiplication of 5, and we call the factor 5 the base, and the number of its appearances in the multiplication, 6, the exponent.

The exponent for a factor is the number of times that the factor appras in the multiplication. An exponent of 1 is not usually written out. So, 2*2*2*3*3*3*3*5 = 23*34*5

proportion

base

The base

The base is the repeated factor. The exponent tells how many times the base is repeated.

2 is a prime number; no factor tree.

The base is the repeated factor. The exponent tells how many times the base is repeated. 52 = 5 x 5

The base is the repeated factor. The exponent tells how many times the base is repeated. 52 = 5 x 5

1

A number that is multiplied by itself is called a base when it is written in exponential notation. Exponential notation consists of the number to be multiplied and a numeral in superscript to the right of it to indicate the number of times it is to be multiplied by itself. When the multiplication process is written out in full, the number is called a factor. The number may also be considered a multiplier or multiplicand when the equation is written this way.

Give another name of exponent

Rewrite the factor in increasing order: 2x2x2x3x3x5x7 Where a factor is repeated replace the repeats by the number of times the factor appears as a superscript. 2 appears 3 times so 23. 3 appears 2 times so 32. So answer: 23x32x5x7 When you are learning about exponential form you may be required to write 51 and 71.

Exponential form

exponential form

A number is in exponential form when it is written with a base and an exponent.

base is a number used as the factor in exponential form.

Base

The base

Base