Question

Enter an expression equivalent to a²⁰ in the form (aⁿ)ᵐ

Answer 1

(A ^ 5)^4 is the answer

Answer 2

`(a^(5) )^(4)`

Explanation:

1. Using the rule (aⁿ)ᵐ =
`a^(n * m)` we can see that any factor pair of 20 will be able to make an expression equivalent to
`a^(20)`

2. Picking any factor pair of 20:

5 x 4

1 x 20

10 x 2

3. replacing a and m with either value as for this expression it doesn't matter which way round they are as they will always multiply out to be the same thing so one example can include:

`(a^(5) )^(4)`