Simplification of 3 to the 2nd power multiplied by 4 to the 2nd power or , [tex]3^{2}(4^2)[/tex] is [tex]144[/tex] .
Step-by-step 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
⇒ [tex]3^{2}(4^2)[/tex]
We know that ,
[tex]3^2 = 3(3) = 9\\4^2 = 4(4) = 16[/tex]
Putting in this in expression [tex]3^{2}(4^2)[/tex]:
⇒ [tex]3^{2}(4^2)[/tex]
⇒ [tex]9(16)[/tex]
⇒ [tex]144[/tex]
Therefore, Simplification of 3 to the 2nd power multiplied by 4 to the 2nd power or , [tex]3^{2}(4^2)[/tex] is [tex]144[/tex] .
The simplified form of 3² × 4² is 144.
Step-by-step 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.
