simplify. express your answer as the given base raised to a single exponent. \n$(7^{4})^{3}$

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 = 7), (m = 4), and (n=3).

Step2: Apply the rule

Calculate the new exponent: (4\times3 = 12). So, ((7^{4})^{3}=7^{4\times3}=7^{12}).

Answer:

(7^{12})