What is the value of $(5.0 imes 10^{-6}) imes (5.0 imes 10^{-8})$ taking into account the sign

Question

What is the value of $(5.0 	imes 10^{-6}) 	imes (5.0 	imes 10^{-8})$ taking into account the significant figures?

Professor PC Thomas Classes · Answer

Multiplication yields $5.0 	imes 5.0 = 25$ and exponents give $10^{-6} 	imes 10^{-8} = 10^{-14}$. The raw product is $25 	imes 10^{-14} = 2.5 	imes 10^{-13}$. Since both original values have two significant figures, the result must be given to two significant figures, which is exactly $2.5 	imes 10^{-13}$.