Which law of indices do we apply to find the value of $$ \left(2^{3}\right)^{2} $$.

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To find the value of $$ \left(2^{3}\right)^{2} $$, we apply the law of indices known as the "power of a power" rule. This rule states that when you raise a power to another power, you multiply the exponents.

Mathematically, this is expressed as:

$$
(a^m)^n = a^{m \cdot n}
$$

In your case, we have:

$$
\left(2^{3}\right)^{2} = 2^{3 \cdot 2} = 2^{6}
$$

Now, we can calculate $$ 2^{6} $$:

$$
2^{6} = 64
$$

So, the value of $$ \left(2^{3}\right)^{2} $$ is $$ 64 $$.
Apply the "power of a power" rule to find $$ \left(2^{3}\right)^{2} $$, which equals $$ 64 $$.

Which law of indices do we apply to find the value of \( \left(2^{3}\right)^{2} \).

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