Is the function below exponential? m(t)=(4⋅5t)3 If so, write the function in the form m(t)=abt and enter the values you find for a and b

Answer 1

m(t)= ((4)(5^t)^3= (4^3)(5^3)^t

=64(125^t)

=ab^t where a=64, b=125

m(0) = (4(5^0))^3= 4^3 = 64

m(1) = (4(5))^3=20^3 = 8000

m(1)=64(125^1)=8000