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Find the simplified form of the expression. Give your answer in scientific notation. (5 x 10-6)(1 x 10-3)

Sagot :

Answer:

[tex]5\times10^{-9}[/tex]

Explanation:

Given the expression:

[tex]\mleft(5\times10^{-6}\mright)\mleft(1\times10^{-3}\mright)​[/tex]

First, open the brackets:

[tex]=5\times10^{-6}\times1\times10^{-3}[/tex]

Next, rearrange to bring like terms together:

[tex]\begin{gathered} =5\times1\times10^{-6}\times10^{-3} \\ =5\times10^{-6}\times10^{-3} \end{gathered}[/tex]

Finally, combine the powers of 10 using the addition law of indices:

[tex]\begin{gathered} =5\times10^{-6+(-3)} \\ =5\times10^{-6-3} \\ =5\times10^{-9}\text{ (in scientific notation)} \end{gathered}[/tex]

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