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How to write 4b^-2/4b^-3 without a denominator?

 Nov 24, 2014

Best Answer 

 #1
avatar+23245 
+5

(4b^-2) ÷ (4b^-3)        Write with positive exponents:

=  (4/b²)  ÷  (4/b³)       Replace division with multiplying by the reciprocal:

=  (4/b²)  x  (b³/4)        Multiply numerator times numerator and denominator times denominator:

=  (4b³) / (4b²)             Cancel like factors:

=  b

 Nov 24, 2014
 #1
avatar+23245 
+5
Best Answer

(4b^-2) ÷ (4b^-3)        Write with positive exponents:

=  (4/b²)  ÷  (4/b³)       Replace division with multiplying by the reciprocal:

=  (4/b²)  x  (b³/4)        Multiply numerator times numerator and denominator times denominator:

=  (4b³) / (4b²)             Cancel like factors:

=  b

geno3141 Nov 24, 2014

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