How do you simplify #(\frac{2}{a^{2}})^{2}#?

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Answer 1 · 2018-03-28T11:55:20

#4/a^4#

= #(2/a^2)^2#

= #2/a^2*2/a^2#

= #4/a^4#

Answer 2 · 2018-03-28T11:55:47

See a solution process below:

First, use this rule of exponents to rewrite the numerator:

#c = c^color(red)(1)#

#(2/a^2)^2 = (2^color(red)(1)/a^2)^2#

Now, use this rule of exponents to complete the simplification:

#(x^color(red)(j))^color(blue)(k) = x^(color(red)(j) xx color(blue)(k))#

#(2^color(red)(1)/a^color(red)(2))^color(blue)(2) => 2^(color(red)(1)xxcolor(blue)(2))/a^(color(red)(2)xxcolor(blue)(2)) => 2^2/a^4 = 4/a^4#