Answer:
a = 3 and b = 6
Step-by-step explanation:
(arᵇ)⁴ = 81 r²⁴
We are ask to find a and b
In the above equation, lets open up the bracket. Then it becomes;
a⁴ r⁴ᵇ = 81 r²⁴
Comparing the left and right-hand side of the equation;
a⁴ = 81
a⁴ = 3⁴
a = 3
Also, r⁴ᵇ = r²⁴
4b = 24
Divide both-side of the equation by 4 to get the value of b
4b/4 = 24/4
(On the left-hand side of the equation 4 on the numerator will cancel-out 4 at the denominator while on the right hand-side of the equation 24 will be divided by 4)
b = 6
