Wat is (3 ^ 3 * 5 ^ 3) ^ - 2?

Wat is (3 ^ 3 * 5 ^ 3) ^ - 2?
Anonim

Antwoord:

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

Uitleg:

exponentieel: # a ^ -1 = 1 / a # en # 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)# OF # (11,390625)^-1#