Question

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

Answer 1

The product is (10m^-5)

Answer 2

Answer: The product is $10m^{-5}$

Step-by-step explanation:

Since we have given that

$(5m^{-2})(2m^{-3})$

We need to find the product:

$5m^{-2}\times 2m^{-3}\\\\\\=\dfrac{5}{m^2}\times \dfrac{2}{m^3}(\because a^{-m}=\dfrac{1}{a^m})\\\\\\=\dfrac{5\times 2}{m^{2+3}}\\\\\\=\dfrac{10}{m^5}$

Hence, the product is $\dfrac{10}{m^5}=10m^{-5}$