Question 978766
1.(7x)^-2 divided by 7x^3
{{{(7x)^(-2)/(7x^3)}}}
Multiply NUM and DEN by (7x)^2
= {{{1/((7x)^2*(7x^3))}}}
= {{{1/(49x^2*7x^3)}}}
= {{{1/343x^5}}}
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2. 8x10^3 divided by 8x10^2
{{{8e3/8e2}}}
Divide NUM and DEN by 8e2
= {{{1e1/1}}}
= {{{1*10^1}}}
= 10
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You might see suggestions about moving variables from NUM to DEN and vice versa and changing the sign, but it's not necessary to remember yet another "rule."  Just treat fractions as fractions - do the same thing to the NUM and the DEN.
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8*10^3 = 8e3, etc
It's commonly used in programming and is easier to type.