Question

(2³)² solve this problem

Answer 1

Answer:

$(2^3)^2 = 64$

Step-by-step 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: $(2^3)^2 = 64$