diff --git a/base/rational.jl b/base/rational.jl
index 3cf51283f5b3f0..18d104a434923e 100644
--- a/base/rational.jl
+++ b/base/rational.jl
@@ -262,7 +262,7 @@ typemin(::Type{Rational{T}}) where {T<:Integer} = unsafe_rational(T, zero(T), on
 typemax(::Type{Rational{T}}) where {T<:Integer} = unsafe_rational(T, one(T), zero(T))
 
 isinteger(x::Rational) = x.den == 1
-ispow2(x::Rational) = (x.den == 1 && ispow2(x.num)) || (x.num == 1 && ispow2(x.den))
+ispow2(x::Rational) = ispow2(x.num)) & ispow2(x.den)
 
 +(x::Rational) = unsafe_rational(+x.num, x.den)
 -(x::Rational) = unsafe_rational(-x.num, x.den)
diff --git a/test/rational.jl b/test/rational.jl
index 166df8afc47af4..76ff20acbf938e 100644
--- a/test/rational.jl
+++ b/test/rational.jl
@@ -595,7 +595,6 @@ end
     @test -2//3 * 0x1 == 0x1 * -2//3 == -2//3
 end
 
-
 @testset "ispow2" begin
     @test ispow2(4//1)
     @test ispow2(1//8)