Question

Which expression is equivalent to the numbers on da screen

Answer 1

Given:

There are given the expression:

`(3^2)^3\cdot(3^4)^2`

Step-by-step 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:

`(a^b)^c=a^(bc)`

Then,

`(3^2)^3\cdot(3^4)^2=(3^(2*3))\cdot(3^(4*2))`

Then,

`\begin{gathered} (3^2)^3\cdot(3^4)^2=(3^(2*3))\cdot(3^(4*2)) \\ =3^6\cdot3^8 \\ =3^(14) \end{gathered}`

Final answer:

Hence, the correct option is B.