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prisoha [69]
4 years ago
13

Multiply (2.5x10^-10) (7x10^-6)

Mathematics
2 answers:
Blizzard [7]4 years ago
8 0

The anwer will be 1.75*10^-15















serious [3.7K]4 years ago
6 0
We want to multiply 2.5\cdot10^{-10} by 7\cdot10^{-6}.

The numbers are written in scientific notation. So we expect the answer also to be in scientific notation.

the multiplication of the 10's, using the exponents rule is :

10^{-10}\cdot 10^{-6}=10^{-10+(-6)}=10^{-10-6}=10^{-16}

the multiplication of the other 2 numbers is:

2.5\cdot7=17.5=1.75\cdot10

(we write the number so that it has only one digit to the left of the decimal point).

Thus, 

(2.5\cdot10^{-10})\cdot(7\cdot10^{-6})=1.75\cdot10\cdot10^{-16}=1.75\cdot10^{-15}



Answer: 1.75\cdot10^{-15}


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