This works perfectly
julia> bashit(str) = run(`bash -c "$str"`)
bashit (generic function with 1 method)
julia> bashit("julia -e \"using Printf;@printf(\\\"%f\\n\\\",1)\"")
1.000000
Process(`bash -c 'julia -e "using Printf;@printf(\"%f\n\",1)"'`, ProcessExited(0))
julia> bashit(raw"""julia -e "using Printf;@printf(\\"%f\\n\\",1)" """)
1.000000
Process(`bash -c 'julia -e "using Printf;@printf(\"%f\n\",1)" '`, ProcessExited(0))