Question

(2³)² solve this problem

Answer 1

Formula used : (a^m)^n = a^(m×n)

→ (2³)² = 2³*² = 2⁶ = 64

• 64 is the right answer.

Answer 2

`(2^3)^2 = 64`

Explanation:

Option 1:

Using the following rule:

`(a^n)^m = a^(nm)`

Put in our expression,

a = 2

n = 3

m = 2

`(a^n)^m = a^(nm)`

`(2^3)^2 = 2^(3*2)=2^6=64`

Option 2:

Using the following rule:

`a^n * a^m = a^(n+m)`

Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.

`(2^3)^2 = 2^3 * 2^3`

If we compare this with
`a^n * a^m`, we can see that

a = 2

n = 3

m = 3 (in this case, n and m are equal)

`a^n*a^m = a^(n+m)`

`2^3*2^3 = 2^(3+3) = 2^6 = 64`

Answer:
`(2^3)^2 = 64`