Answer:
[tex]3^4*3^5*3^6 = 3^{15}[/tex]
Step-by-step explanation:
Given
[tex]3^4*3^5*3^6[/tex]
Required
Simplify
To do this, we apply laws of indices:
[tex]a^m * a^n = a^{m+n}[/tex]
So:
[tex]3^4*3^5*3^6 = 3^{4+5+6}[/tex]
Add the exponents
[tex]3^4*3^5*3^6 = 3^{15}[/tex]