Answer:
[tex](2^3)^2 = 64[/tex]
Step-by-step explanation:
Option 1:
Using the following rule:
[tex](a^n)^m = a^{nm}[/tex]
Put in our expression,
a = 2
n = 3
m = 2
[tex](a^n)^m = a^{nm}[/tex]
[tex](2^3)^2 = 2^{3*2}=2^6=64[/tex]
Option 2:
Using the following rule:
[tex]a^n * a^m = a^{n+m}[/tex]
Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.
[tex](2^3)^2 = 2^3 * 2^3[/tex]
If we compare this with [tex]a^n * a^m[/tex], we can see that
a = 2
n = 3
m = 3 (in this case, n and m are equal)
[tex]a^n*a^m = a^{n+m}[/tex]
[tex]2^3*2^3 = 2^{3+3} = 2^6 = 64[/tex]
Answer: [tex](2^3)^2 = 64[/tex]
