document.write( "Question 269454: Write the answer in scientific notation. 1.4x10^-4/5.6x10^-7 \n" ); document.write( "

Algebra.Com's Answer #197497 by drk(1908) $\"\"$ $\"About$

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step 1 separate the two as
\n" ); document.write( "(i) (1.4 x 10^(-4)) / (5.6 x 10^(-7))
\n" ); document.write( "step 2 - divide (reduce the front numbers to get
\n" ); document.write( "1.4 / 5.6 = 1/4 = .25
\n" ); document.write( "step 3 - use rules of exponents to divide the bases. We get
\n" ); document.write( "10^(-4) / 10^(-7) = 10^(3)
\n" ); document.write( "step 4 - put steps 2 and 3 together to get
\n" ); document.write( "(ii) .25 x 10^3
\n" ); document.write( "step 5 - .25 is not in scientific notation, so we adjust it to get
\n" ); document.write( ".25 = 2.5 x 10^(-1)
\n" ); document.write( "step 6 - put this back into (ii) to get
\n" ); document.write( "(iii) 2.5 x 10^2 \n" ); document.write( "

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