Question

3^m × 3³ = 3⁵, then m =​

Answer 1

m=2

Step-by-step explanation:

3^m × 3³ = 3⁵

=> m+3=5

=>m=5-3

=>m=2

Answer 2

Answer:

Value of $m$ is $2$ .

Step-by-step explanation:

To find : value of $m$ .

Given : $3^{m}\times 3^{3} = 3^{5}$

Solution :

• Product law: According to this law if bases of two terms are same then their powers are added keeping the base same. i.e. $a^{m}\times a^{n}=a^{m+n}$ .

• To find the value of $m$ we solve according to above law , since bases are same and powers are different , we add powers .

        $3^{m}\times 3^{3} = 3^{5} \\3^{m + 3} = 3^{5}$  

• Now , comparing powers of both sides since base are same  , to find the value of $x$  .

        $m + 3 = 5\\m = 5-3 \\ m = 2$