Question

What is the product of (5m^-2)(2m^-3)?

Answer 1

the product is (10m^-5)

Answer 2

Answer: The product is
`10m^(-5)`

Explanation:

Since we have given that

`(5m^(-2))(2m^(-3))`

We need to find the product:

`5m^(-2)* 2m^(-3)\\\\\\=(5)/(m^2)* (2)/(m^3)(\because a^(-m)=(1)/(a^m))\\\\\\=(5* 2)/(m^(2+3))\\\\\\=(10)/(m^5)`

Hence, the product is
`(10)/(m^5)=10m^(-5)`