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\( a^{b}\)

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How did 10 raise to power -2 come in

If you look at the question the length we're given in 'cm' and you should know that the SI Unit for Length is Meter.

So that 10 raised to the power of -2 is the conversion of the SI Unit to Meter

Energy stored in a stretched wire (strain energy)

= average force x extension

= (1)/2 Fe

= (1)/2 x 300 N (30.5 - 30.0) x 10

^{-2}m= (300)/2 x 0.5 x 10

^{-2}= 0.75J