Given:
There are given the expression:
[tex](3^2)^3\cdot(3^4)^2[/tex]
Explanation:
According to the question:
We need to find the value of the expression:
Then,
To find the value, we need to use the exponent rule:
Then,
From the exponent rule:
[tex](a^b)^c=a^{bc}[/tex]
Then,
[tex](3^2)^3\cdot(3^4)^2=(3^{2\times3})\cdot(3^{4\times2})[/tex]
Then,
[tex]\begin{gathered} (3^2)^3\cdot(3^4)^2=(3^{2\times3})\cdot(3^{4\times2}) \\ =3^6\cdot3^8 \\ =3^{14} \end{gathered}[/tex]
Final answer:
Hence, the correct option is B.
