Question

Simplify 3 to the 2nd power multiplied by 4 to the 2nd power.

Answer 1

The simplified form of 3² × 4² is 144.

Explanation:

A number raised to a power is expressed by multiplication symbol with number of times equal to the power.

It is given that,

3 to the 2nd power is represented by (3)².

Here, the number 3 is raised to the power 2. So, the 3 must be multiplied twice.

⇒ (3)²= 3×3

⇒ (3)²= 9

4 to the 2nd power is represented by (4)².

Similarly, the number 4 is raised to the power 2. So, the 4 must be multiplied twice.

⇒ (4)²= 4×4

⇒ (4)²= 16

This means that, 3 to the 2nd power multiplied by 4 to the 2nd power is represented as (3)²×(4)².

⇒ (3×3) × (4×4)

⇒ 9 × 16

⇒ 144

Therefore, the simplified form of 3 to the 2nd power multiplied by 4 to the 2nd power is 144.

Answer 2

Simplification of 3 to the 2nd power multiplied by 4 to the 2nd power or ,
`3^(2)(4^2)` is
`144` .

Explanation:

We have to simplify 3 to the 2nd power multiplied by 4 to the 2nd power.

⇒ 3 to the 2nd power multiplied by 4 to the 2nd power

⇒
`3^(2)(4^2)`

We know that ,

`3^2 = 3(3) = 9\\4^2 = 4(4) = 16`

Putting in this in expression
`3^(2)(4^2)`:

⇒
`3^(2)(4^2)`

⇒
`9(16)`

⇒
`144`

Therefore, Simplification of 3 to the 2nd power multiplied by 4 to the 2nd power or ,
`3^(2)(4^2)` is
`144` .