Question

Find the value of m for which 5^m ÷ 5^-3 = 5^5

Answer 1

Answer:

m=2

Step-by-step explanation:

let 5^m be x .

then ,

x ÷ 5^-3 = 5^5.

x ÷ 0.008 = 3125

x = 3125 × 0.008

x = 25.

x = 5^m = 25.

5^m = 25.

therefore, 5^2 = 25.

therefore m =2.