ryanlangshaw25 ryanlangshaw25
  • 02-07-2021
  • Mathematics
contestada

(ar^b) ^4 = 16r^20 where a and b are positive integers work our a and b​

Respuesta :

fichoh
fichoh fichoh
  • 07-07-2021

Answer:

a = 2

b = 5

Step-by-step explanation:

Given :

(ar^b)^4 = 16r^20 ; a and b are positive integers :

Opening the bracket :

a^4r^4b = 16r^20

a^4 = 16 - - - - - (1)

r^4b = r^20 - - - (2)

a^4 = 16

Take the 4th root of both sides :

(a^4)^(1/4) = 16^1/4

a = 2

From (2)

r^4b = r^20

4b = 20

Divide both sides by 4

4b/4 = 20/4

b = 5

Hence ;

a = 2

b = 5

Answer Link

Otras preguntas

alpha centauri, the closest star to the sun, is 4.3 ly away.
Given the equation 1/4(2)^x find the average rate of change between f(2) and f(5)
which of the following is true about the dynamic process of competition?
michael raptis cause of death
how to find the period of a wave
What can BEST be concluded from the information in this chart? A) East Asia is the poorest region in the world. B) Latin American education is
symptoms of alcohol withdrawal
michael raptis cause of death
alpha centauri, the closest star to the sun, is 4.3 ly away.
multinationals definition