2.4 Show with steps which one is larger: 2.4.1 3 {3}^(2) or 4³​

Question

2.4 Show with steps which one is larger: 2.4.1 3

`{3}^(2)`
or 4³​

Answer 1

To compare (2.4)^3 and 4^3, first, we need to solve the value of (2.4)^3:

(2.4)^3
= 2.4 x 2.4 x 2.4
= 13.824

Now, we can compare 13.824 and 64:

13.824 < 64

Therefore, we can conclude that 4^3 or 64 is larger than (2.4)^3 or 13.824. Hence:

4^3 > (2.4)^3 or 64 > 13.824

Note: I used the value of (2.4)^3 in the comparison, because it was given with the option of 3².

Answer 2

To compare the values
`{3}^(2)` and 4³, we need to calculate each expression separately.

First, let's calculate
`{3}^(2)`:

`{3}^(2) = 3 * 3 = 9`

Now, let's calculate 4³:

4³ = 4 × 4 × 4 = 64

Therefore,
`{3}^(2)` is smaller than 4³.

To summarize:

`{3}^(2)` = 9

4³ = 64

Hence, 4³ is larger than
`{3}^(2)`.