@testset "exponentiated" begin
    rng = MersenneTwister(123456)
    x = rand(rng)*2
    v1 = rand(rng, 3)
    v2 = rand(rng, 3)

    k = ExponentiatedKernel()
    @test kappa(k,x) ≈ exp(x)
    @test kappa(k,-x) ≈ exp(-x)
    @test k(v1,v2) ≈ exp(dot(v1,v2))
    @test metric(ExponentiatedKernel()) == KernelFunctions.DotProduct()
    @test repr(k) == "Exponentiated Kernel"
    test_ADs(ExponentiatedKernel)
end
