What is #(3^3*5^3)^-2#?

1 Answer
May 11, 2018

#1/(11,390625)# OR # (11,390625)^-1#

Explanation:

Exponential: #a^-1 = 1/a# and #a^-2 = 1/a^2#

#(3^3. 5^3)^-2# = #(3xx3xx3xx5xx5xx5)^-2#

#(3^3. 5^3)^-2# = #(27xx125)^-2#

#(3^3. 5^3)^-2# = #(3375)^-2# = #1/(3375)^2=1/(11,390625)#

#(3^3. 5^3)^-2# = #1/(11,390625)# OR # (11,390625)^-1#