If #4^x= 7#, then what does #4^ (-2x)# equal?

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Sep 2, 2015

Answer:

If #4^x = 7# then #4^(-2x) = 1/49#

Explanation:

#4^x = 7#

#4^(-2x)#

#= 1/4^(2x)#

#= 1/[(4^x)^2]#

#= 1/(7)^2#

#= 1/49#

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