Question

What is the product of(5m^-2)(2m^-3)?
7/m^5
7m^6
10/m^5
10m^6

Answer 1

10/m^5

Explanation:

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

= 10 m^(-5)

= 10/m^5

Answer 2

`(10)/(m^5)`

Explanation:

We have to find the product of
`(5m^(-2))(2m^(-3))`

Multiply using the term by term we get

`10m^(-2)m^(-3)`

Now, using the exponent property
`x^a\cdot x^b=x^(1+b)`

`10m^(-2-3)\\\\=10m^(-5)`

Finally using the exponent property
`x^(-a)=(1)/(x^a)`

`10m^(-5)\\\\(10)/(m^5)`

Third option is correct.