AustinO99649 AustinO99649
  • 03-11-2022
  • Mathematics
contestada

Given that: 100 = 2^2 * 5^2, how is 400 written as a product of its prime factors?

Respuesta :

AdvayJ422174 AdvayJ422174
  • 03-11-2022

Answer:

400 written as a product of it's prime factors is 2^4 * 5²

Step-by-step explanation:

We have to factore the number, dividing by prime factors(2, 3, 5, 7, ...)

400|2

200|2

100

We already have the factorization of 100. So

400 = 2²*100 = 2²*2²*5² = 2^4 * 5²

400 written as a product of it's prime factors is 2^4 * 5²

Answer Link

Otras preguntas

10. When a device is used in a circuit in which the voltage is 81 V, the current flowing through the device is 3 A. What is the resistance of the device? A. 40.
what is weight, in newtons, of a 50.-kg person on earth?
the following question refers to “pronouns and antecedents.” if the following sentence uses the proper pronoun, mark the answer as “true.” if the sentence does
How did the Neolithic Revolution change the relationship between humans and the environment?
A theif steals an ATM card and must randomly guess the correct six -digit pin code from a 5-key keypad. Repetition of digits is allowed. What is the probability
how many solutions does the equation have ? |5x|=0
solve for x . 2x+10=3x-18
Which number produces an irrational number when added to 0.4?
Define color and explain how color is used in the above picture titled Self-portrait with Flowers by Frida Kahlo. See attachment.
Compare and contrast basic research, applied research, and technological development.