simplify. express your answer as the given base raised to a single exponent.\n$(12^{7})^{4}$
simplify. express your answer as the given base raised to a single exponent.\n$(12^{7})^{4}$
Answer
Explanation:
Step1: Apply power - of - a - power rule
The power - of - a - power rule states that $(a^m)^n=a^{m\times n}$. Here, $a = 12$, $m = 7$, and $n = 4$. $(12^7)^4=12^{7\times4}$
Step2: Calculate the exponent
$7\times4 = 28$. So, $12^{7\times4}=12^{28}$
Answer:
$12^{28}$