Question

(ar^b)^4=81r^24 where a and b are integers work out a and b

Answer 1

hello mate,
here is Ur solution.

Answer 2

Answer:

a = 3 ; b = 6.

Step-by-step explanation:

(arᵇ)⁴ = 81r²⁴

or, a⁴.r⁴ᵇ = 81r²⁴

Here, for this equation the similarity is achieved thus, the power part(of r, the same variable) can be said equal while the coefficient part can be equalised separately.

Thus,

a⁴ = 81

or, a = ⁴√81

or, a = 3

Now then,

4b = 24

or, b = 6