Answer: 125= 5*5*5. The exponential form of 125 is 5^3.
What is a factor tree for 125?
Results: The number 125 is a composite number because 125 can be divided by 1, by itself and at least by 5. So, it is possible to draw its prime tree. The prime factorization of 125 = 53.
What is the exponential notation of 100?
| Exponential Form | Expanded Form | Value |
|---|---|---|
| 104 | 10 • 10 • 10 • 10 | 10,000 |
| 103 | 10 • 10 • 10 | 1,000 |
| 102 | 10 • 10 | 100 |
| 101 | 10 | 10 |
What are the laws of exponents?
Laws of Exponents
| Law | Example |
|---|---|
| xm/xn = xm-n | x6/x2 = x6-2 = x4 |
| (xm)n = xmn | (x2)3 = x2×3 = x6 |
| (xy)n = xnyn | (xy)3 = x3y3 |
| (x/y)n = xn/yn | (x/y)2 = x2 / y2 |
What is the prime factorization of 125 using exponents?
Prime factorization is finding the prime numbers which, when multiplied, result in the original number. Since 5 is already a prime number, the prime factorization of 5 is 5 x 5 x 5. In exponential form, the prime factorization of 125 is 5^3. Our experts can answer your tough homework and study questions.
How to write 125 in an exponential form?
First Step: Ask yourself, what number multiplied by itself a number of times, would equal 125. . Exponential notation can be seen as just a way to write expression like 5*5*5 in a more compact form. to indicate how many times you multiply 5 by itself. For example: x^3 is short hand for x*x*x. If x=4, then x^3 = 4*4*4= 64
How are exponents and powers related to each other?
Basically, power is an expression that shows repeated multiplication of the same number or factor. The value of the exponent is based on the number of times the base is multiplied to itself. See of the examples here: What is Exponent?
How are exponents used to represent repeated addition?
Multiplication is a way to represent repeated addition. For instance, instead of adding 5 + 5 + 5 + 5 + 5 + 5, we can simply multiply 5 by 6. Similarly, we can also use an alternative representation of repeated multiplication.
