Question

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

Answer 1

`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`