How do you simplify (m^2p^5)^3(m2p5)3?

1 Answer
Oct 22, 2017

m^6p^15m6p15

Explanation:

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

By example suppose we had the variable aa

This may be written as a^1a1

Now compare to a xx a xx a=a^3 =a^(1+1+1)a×a×a=a3=a1+1+1

So if we had (a^2)^3(a2)3 this would be the same as a^(2xx3)=a^6a2×3=a6

If you have doubts! : 2^2xx2^2 = 4xx4=16 = 2^(2xx2)=1622×22=4×4=16=22×2=16
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color(blue)("Answering the question")Answering the question

Using the above approach we have:

(m^(2xx3))xx(p^(5xx3))(m2×3)×(p5×3)

m^6p^15m6p15