Question

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

Answer 1

The anwer will be 1.75*10^-15

Answer 2

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)`