Question

3²*4³=12⁵,State true or false and justify your answer.

Answer 1

3² × 4³ = 12^5 is False .

Reason :

LHS = 3² × 4³

= 3² × 4² × 4

= ( 3 × 4 )² × 4

= ( 12 )² × 4---( 1 )

RHS = 12^5 ---( 2 )

from ( 1 ) and ( 2 ) ,

LHS ≠ RHS

••••

Answer 2

To proof : 3² * 4³ = 12${}^{5}$

Checking :

Left Hand Side → 3² * 4³
Right Hand Side → 12${}^{5}$




Solving Left hand side : →

→ 3² × 4³

→ ( 3 × 3 ) × ( 4 × 4 × 4 )

→ 9 × 64

→576 or 24²



Solving Right hand side : →

→ 12${}^{5}$

→ 12 × 12 × 12 × 12 × 12

→ 248832 or 12${}^{5}$



On Comparing RHS and LHS , we get { 576 ≠ 248832 } or 24² ≠ 12 ${}^{5}$



Therefore, given statement is false.