Question

Find the value of m for which
${5}^{m} \div {5}^{ - 3} = {5}^{5}$
Correct answer will be marked as Brainliest.​

Answer 1

Answer:

Value of m is 2.

Step-by-step explanation:

5^m / 5^( - 3 ) = 5^5

Using laws of exponents a^m / a^n = a^( m - n)

5^{ m - ( - 3 ) } = 5^5

5^( m + 3 ) = 5^5

Since bases are equal exponents also will be equal

m + 3 = 5

m = 5 - 3 = 2

Therefore the value of m is 2.