Question

question 4 (mandatory) (1 point)
27^{2x} expressed as a power of 3 is
a) 3^{9x}
b) 3^{6x}
c) 3^{8x}
d) 3^{3 + 2x}

Explanation:

Step1: Rewrite 27 as a power of 3

Since $27 = 3^3$, then $27^{2x}=(3^3)^{2x}$.

Step2: Apply power - of - a - power rule

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

Answer:

B. $3^{6x}$