How do you simplify #(2m^5g^11)^6#?

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How do you simplify #(2m^5g^11)^6#?

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Answer 1 · 2018-03-03T15:49:39

#64*m^30*g^66#

Explanation:

#color(red)((1)(M*N)^Z=M^Z*N^Z)#
#color(red)((2)(A^M)^N=A^(MN))#
Here,
#(2m^5g^11)^6=(2)^6*(m^5)^6*(g^11)^6,# #color(blue)([Apply: (1)])#
#(2m^5g^11)^6=64*m^30*g^66,# #color(blue)([Apply:(2)])#

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How do you simplify #(2m^5g^11)^6#?

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