How do you write the answer in scientific notation given #(2.5times10^-3)^-2#?

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Answer 1 · 2018-02-09T12:34:09

#(2.5×10^(−3))^(−2)#

applying the rule, #color(brown)(a^(-m) = 1/(a^m))#

#(2.5×10^(−3))^(−2) = 1/(2.5×10^(−3))^(2)#

applying the rule, #color(brown)((ab)^m= a^mb^m)# and #color(brown)((a^n)^m=a^(mn))#

#=1/(2.5^2 xx 10^(-6))#

#=1/6.25 xx 10^6#

#=0.16 xx 10^6#

Standard notation #=> 1.6 xx 10^5#

#-color(magenta)(Sahar)#