Answer:
[tex]=729x^{30}[/tex]
Step-by-step explanation:
So we have the expression:
[tex](3x^5)^6[/tex]
To simplify, we can use the product of a power property, where:
[tex](ab)^x=a^xb^x[/tex]
So, our expression will be equal to:
[tex]=(3)^6(x^5)^6[/tex]
Let's evaluate 3⁶, which equates to:
[tex]=729(x^5)^6[/tex]
For our x, we can use the power of a power property, where:
[tex](x^a)^b=x^{ab}[/tex]
So, our expression is:
[tex]=729x^{5(6)}[/tex]
Evaluate:
[tex]=729x^{30}[/tex]
And we're done!
