How do you simplify (\frac{2}{a^{2}})^{2}(2a2)2?

2 Answers
Mar 28, 2018

4/a^44a4

Explanation:

= (2/a^2)^2(2a2)2

= 2/a^2*2/a^22a22a2

= 4/a^44a4

Mar 28, 2018

See a solution process below:

Explanation:

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

c = c^color(red)(1)c=c1

(2/a^2)^2 = (2^color(red)(1)/a^2)^2(2a2)2=(21a2)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))(xj)k=xj×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(21a2)221×2a2×222a4=4a4