Question 656463
16^.75/ 16^.25
How do you get 4 for the answer? I get  (16/16) .75-.25
 =1^.50 


{{{16^.75/16^.25}}} 


Laws of exponents state that if dividing expressions with a similar base, the exponent in the denominator should be subtracted from the exponent in the numerator. 

Hence, {{{16^.75/16^.25}}} becomes:


{{{16^(.75 - .25)}}}, or {{{16^.5}}}, or {{{16^(1/2)}}}, or {{{sqrt(16)}}}, or {{{highlight_green(4)}}}


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