katrinaelena
katrinaelena katrinaelena
  • 17-06-2020
  • Mathematics
contestada

Which values of a and b make the equation true? (2xy)^4/4xy=4x^ay^b

Which values of a and b make the equation true 2xy44xy4xayb class=

Respuesta :

MathTutors
MathTutors MathTutors
  • 17-06-2020

Answer: a=3, b=3

Step-by-step explanation:

Let's rewrite this expression on the left side so that it matched the form on the right side.

[tex]\frac{(2xy)^4}{4xy}=\frac{16x^4y^4}{4xy}=4x^3y^3[/tex]

Now, you can see the left side matches the same form as the right side.

4x³y³=4xᵃyᵇ

Since they're the same equation, a=3 and b=3.

Answer Link

Otras preguntas

Which sphere is NOT a part of the cycling of oxygen through Earth's systems? A. biosphere B. exosphere C. atmosphere D. hydrosphere
character is one who changes and grows as a result of the conflict in the story.
Find the midpoint and the distance of each line segment with the given endpoints.
Why were the Spartan soldiers willing to sacrifice themselves at Thermopylae?
Please answer number 2
How early do sociologist believe parents begin socializing their children into gender?
what type of property cannot be seen just by observing with senses
The ability to detect surveillance activities is improved when
the temperature in Anchorage, Alaska, was -6.4 degrees Celsius. In four months the temperature will rise by two and one half times. what will be the temperature
Why are ancient archetypes useful