Question

simplify: \\((2^3)^4\\) \\(2^7\\) \\(2^6\\) \\(2^{12}\\) 64

Explanation:

Step1: Recall exponent rule

For \((a^m)^n\), use the power - of - a - power rule: \((a^m)^n=a^{m\times n}\). Here, \(a = 2\), \(m = 3\), and \(n=4\).

Step2: Apply the rule

Calculate the exponent: \(3\times4 = 12\). So, \((2^{3})^{4}=2^{3\times4}=2^{12}\).

Answer:

\(2^{12}\) (the option corresponding to \(2^{12}\))