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(2fg2)3(fg)4
Give every factor inside a parentheses the exponent 1 if
it does not have an exponent showing, whether it is a
number or a letter:
(21f1g2)3(f1g1)4
Remove the parentheses by multiplying every inside exponent
by the outside exponent:
21*3f1*3g2*3f1*4g1*4
23f3g6f4g4
Change the 23 to 2*2*2=8
8f3g6f4g4
Add the exponents of the f's
Add the exponents of the g's
8f3+4g6+4
8f7g10
Edwin