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To fix the superscript placement and the italic m, you can use the options ScriptBaselineShifts and SingleLetterItalics in Style. For example

Plot[1 - Exp[-x], {x, 0, 3}, AxesLabel -> {"thickness (\[Mu]mμm)", Style[Row[{"power density ", Style["(",Larger], "W/m^2", Style[")", Larger]}], ScriptBaselineShifts -> {0, .5}, SingleLetterItalics -> False, "TraditionalForm"]}] 

Mathematica graphics

There are some other options in Style that might help. For example if you want a smaller font for the superscript, you can use the option ScriptSizeMultipliers.

To fix the superscript placement and the italic m, you can use the options ScriptBaselineShifts and SingleLetterItalics in Style. For example

Plot[1 - Exp[-x], {x, 0, 3}, AxesLabel -> {"thickness (\[Mu]m)", Style[Row[{"power density ", Style["(",Larger], "W/m^2", Style[")", Larger]}], ScriptBaselineShifts -> {0, .5}, SingleLetterItalics -> False, "TraditionalForm"]}] 

Mathematica graphics

There are some other options in Style that might help. For example if you want a smaller font for the superscript, you can use the option ScriptSizeMultipliers.

To fix the superscript placement and the italic m, you can use the options ScriptBaselineShifts and SingleLetterItalics in Style. For example

Plot[1 - Exp[-x], {x, 0, 3}, AxesLabel -> {"thickness (μm)", Style[Row[{"power density ", Style["(",Larger], "W/m^2", Style[")", Larger]}], ScriptBaselineShifts -> {0, .5}, SingleLetterItalics -> False, "TraditionalForm"]}] 

Mathematica graphics

There are some other options in Style that might help. For example if you want a smaller font for the superscript, you can use the option ScriptSizeMultipliers.

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To fix the superscript placement and the italic m, you can use the options ScriptBaselineShifts and SingleLetterItalics in Style. For example

Plot[1 - Exp[-x], {x, 0, 3}, AxesLabel -> {"thickness (\[Mu]m)", Style[Row[{"power density ", Style["(",Larger], "W/m^2", Style[")", Larger]}], ScriptBaselineShifts -> {0, .5}, SingleLetterItalics -> False, "TraditionalForm"]}] 

Mathematica graphics

There are some other options in Style that might help. For example if you want a smaller font for the superscript, you can use the option ScriptSizeMultipliers.