Question

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

Explanation:

Step1: Rewrite 27 as a power of 3

We know that \(27 = 3^3\). So \(27^x=(3^3)^x\).

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 \(n=x\), so \((3^3)^x=3^{3x}\).

Answer:

B. \(3^{3x}\)