How to simplify #(7.87 times 10^-1)^-6 # in scientific notation?

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Answer 1 · 2016-06-08T09:06:41

#(7.87xx10^(-1))^(-6)=4.2087#

As #a^(-m)=1/a^m#, #(ab)^n=a^nxxb^n#, #(a^m)^n=a^(mxxn)# and #(a/b)^n=a^n/b^n#

#(7.87xx10^(-1))^(-6)#

= #7.87^(-6)xx(10^(-1))^(-6)#

= #1/7.87^6xx10^((-1)xx(-6))#

= #1/237601.07xx10^6#

= #1000000/237601.07#

= #4.2087#