Question

simplify (2a)-2

Answer 1

\[(2a)^{-2}\]

Answer 2

You should know that \(\large a^{-1} = \frac{1}{a}\) , so in respect to this idea, we can rewrite \(\large (2a)^{-2}\) as \(\large \frac{1}{(2a)^2}\)

Since we've turned the power positive, we can simplify this and get our answer. Are you able to continue on ?

Answer 3

To simplify \(\large \frac{1}{(2a)^2}\) , distribute the power 2 toboth terms inside the parenthesis. \[\large \frac{1}{2^2 \cdot a^2}\] This simplifies to?

Answer 4

@Jhannybean i thought the answer would b 4a

Answer 5

Let's see... \(\large (2a)^{-2} = (2)^{-2} \cdot a^{-2} = \frac{1}{4} a^{-2} = \frac{1}{4a^2} \)

Answer 6

Same thing as \(\large \frac{1}{2^2\cdot a^2} = \frac{1}{4a^2} \)

Answer 7

Does it make sense? :)

Answer 8

yes it does thanks a lot @Jhannybean

Answer 9

No problemo:)