Answer:
[tex]5^{15}[/tex]
Given:
[tex](5^3)^9\div5^{12}[/tex]
Let us first apply the Power Rule which states that:
[tex](a^x)^y=a^{xy}[/tex]
With this, we now know that:
[tex](5^3)^9=5^{3\times9}=5^{27}[/tex]
Our expression now becomes:
[tex]5^{27}\div5^{12}[/tex]
Now, applying the Quotient Rule which states that:
[tex]a^x\div a^y=a^{x-y}[/tex]
We can evaluate the given expression as:
[tex]5^{27}\div5^{12}=5^{27-12}^{}[/tex]
And this will give us a result of
[tex]5^{15}[/tex]
