which expression is equivalent to $(a^{8})^{4}$?\n$a^{2}$\n$a^{4}$\n$a^{12}$\n$a^{32}$
which expression is equivalent to $(a^{8})^{4}$?\n$a^{2}$\n$a^{4}$\n$a^{12}$\n$a^{32}$
Answer
Explanation:
Step1: Apply the power - of - a - power rule
The power - of - a - power rule states that ((a^{m})^{n}=a^{m\times n}). For the expression ((a^{8})^{4}), here (m = 8) and (n=4). So, ((a^{8})^{4}=a^{8\times4}).
Step2: Calculate the exponent
Calculate (8\times4). (8\times4 = 32).
Answer:
(a^{32}) (the fourth option)