Question

question 12 (mandatory) (1 point)
write $\frac{3^{11}}{(3^{5})^{2}}$ as a single power.

a) $1^{1}$
b) $9^{18}$
c) $3^{1}$
d) $3^{4}$

Explanation:

Step1: Simplify the denominator

Use the power - of - a - power rule $(a^m)^n=a^{mn}$. So, $(3^5)^2 = 3^{5\times2}=3^{10}$.

Step2: Simplify the fraction

Use the quotient rule $\frac{a^m}{a^n}=a^{m - n}$. So, $\frac{3^{11}}{3^{10}}=3^{11 - 10}$.

Step3: Calculate the result

$3^{11 - 10}=3^1$.

Answer:

C. $3^1$