Question

(3a ^3)^x = 27a^9
what’s the value of x?

Answer 1

x = 3

Explanation:

`(3a^3)^x=27a^9\\\\(3a^3)^x=3^3a^(3\cdot3)\qquad\text{use}\ (a^n)^m=a^(nm)\\\\(3a^3)^x=3^3(a^3)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\(3a^3)^x=(3a^3)^3\iff x=3`