Question

question 11 (mandatory) (1 point) which of the following is equivalent to $\frac{(t^{4})^{6}}{t^{8}}$? a) $t^{16}$ b) $t^{3}$ c) $t^{10}$ d) $t^{2}$

Explanation:

Step1: Simplify numerator

Use power - of - a - power rule $(a^m)^n=a^{mn}$. So, $(t^{4})^{6}=t^{4\times6}=t^{24}$.

Step2: Simplify fraction

Use the quotient rule $\frac{a^m}{a^n}=a^{m - n}$. So, $\frac{t^{24}}{t^{8}}=t^{24 - 8}=t^{16}$.

Answer:

A. $t^{16}$