Question

Consider the power 34.

Which are correct descriptions of this power? Check all that apply.



The power is the product of 3 and 4.


The power is described as 3 to the fourth power.


The power means 3 factors of 4 are being multiplied.


The power can be expanded as 3 · 3 · 3 · 3.


The value of this power is 81.

Answer 1

3^4 = 3 * 3 * 3 * 3

Correct choices are 2, 4 and 5.

Answer 2

The power is described as 3 to the fourth power.

The power can be expanded as 3 · 3 · 3 · 3.

The value of this power is 81.

`3^(4)= 3 * 3 * 3 * 3=81`

Explanation:

The given power is

`3^(4)`

A power represents the product of the base number with itself, as many times as the exponent says that is

`3^(4)= 3 * 3 * 3 * 3=81`

So, among the options, the ones that fit to this result are

• The power is described as 3 to the fourth power.
• The power can be expanded as 3 · 3 · 3 · 3.
• The value of this power is 81.