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Multiple. Write your answer in decimal form (3.5x10^-4)(1.6x10^-2)

User Sam Quinn
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1 Answer

11 votes
11 votes

Solution:

Given:


(3.5*10^(-4))(1.6*10^(-2))

To solve,


\begin{gathered} (3.5*10^(-4))(1.6*10^(-2))=3.5*1.6*10^(-4)*10^(-2) \\ =5.6*10^(-4)*10^(-2) \end{gathered}

Applying the law of exponent,


x^a* x^b=x^(a+b)
\begin{gathered} 5.6*10^(-4)*10^(-2)=5.6*10^(-4+(-2)) \\ =5.6*10^(-4-2) \\ =5.6*10^(-6) \\ \text{Applying the negative law of exponent;} \\ x^(-a)=(1)/(x^a) \\ \\ 5.6*10^(-6)=5.6*(1)/(10^6) \\ =5.6*(1)/(1000000) \\ =(5.6)/(1000000) \\ (3.5*10^(-4))(1.6*10^(-2))=0.0000056 \end{gathered}

Therefore,


(3.5*10^(-4))(1.6*10^(-2))=0.0000056

User Peterc
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