How do you simplify #(m^2p^5)^3#?

1 Answer
Tony B
Oct 22, 2017

#m^6p^15#

Explanation:

#color(blue)("The teaching bit")#

By example suppose we had the variable #a#

This may be written as #a^1#

Now compare to #a xx a xx a=a^3 =a^(1+1+1)#

So if we had #(a^2)^3# this would be the same as #a^(2xx3)=a^6#

If you have doubts! : #2^2xx2^2 = 4xx4=16 = 2^(2xx2)=16#
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#color(blue)("Answering the question")#

Using the above approach we have:

#(m^(2xx3))xx(p^(5xx3))#

#m^6p^15#

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