Question

question 16 (mandatory) (1 point) 27^{2x} expressed as a power of 3 is a) 3^{8x} b) 3^{9x} c) 3^{3 + 2x} d) 3^{6x}

Explanation:

Step1: Rewrite 27 as a power of 3

We know that $27 = 3^3$. So, $27^{2x}=(3^3)^{2x}$.

Step2: Apply power - of - a - power rule

According to the power - of - a - power rule $(a^m)^n=a^{mn}$. Here, $a = 3$, $m = 3$ and $n = 2x$. So, $(3^3)^{2x}=3^{3\times2x}=3^{6x}$.

Answer:

d) $3^{6x}$