Question

find the value of m 3m÷3-³=3⁵​

Answer 1

Step-by-step explanation:

3m/3⁻⁵ = 3⁸

3m = 3⁸ x 3⁻⁵

now by using the identity nᵃ x nᵇ = n⁽ᵃ⁺ᵇ⁾

3m = 3⁸⁺⁽⁻⁵⁾

3m = 3³

m = 3³/3

now using the identity nᵃ ÷ n ᵇ = n⁽ᵃ⁻ᵇ⁾

m = 3⁽³⁻¹⁾

m = 3²

m = 9

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Answer 2

Given,

3^m ÷ 3^-3 = 3^5

To find,

The value of m.

Solution,

The value of m will be 2.

We can easily solve this problem by following the given steps.

We know that the powers in the division are subtracted if the base is the same. In this case, the base is the same that is 3.

According to the question,

3^m ÷ 3^-3 = 3^5

3^[m -(-3)] = 3^5 [ powers are subtracted]

3^(m+3) = 3^5

If the base is the same then the powers will also be the same or in other words equal.

Then,

(m+3) = 5

m = 5-3 (Moving 3 from the left-hand side to the right-hand side will result in the change of sign from plus to minus.)

m = 2

Hence, the value of m is 2.