Question

The expression (3c)^-2 is equivalent to?

Answer 1

5

Answer 2

?

Answer 3

The answer could be
1) -6c^2
2) 1/3c^2
3) 1/9c^2
4) 3/c^2

Answer 4

Yeah, five

Answer 5

There is no 5

Answer 6

the rule to apply here is\[\large x^{-a}=\frac1{x^a}\]

Answer 7

make sure that everything in the parentheses is affected by the exponent

Answer 8

so would it be 1/3c^2

Answer 9

careful, you need to square \(everything\) in the parentheses

Answer 10

\[(xy)^a=x^ay^a\]

Answer 11

[-6c^2]

Answer 12

combining both rules, we have this\[(xy)^{-a}=\frac1{(xy)^a}=\frac1{x^ay^a}\]

Answer 13

so there should be no 6
we "distribute" the exponent to everything in the parentheses

Answer 14

given that\[(xy)^a=x^ay^a\]what is\[(3x)^2\]?

Answer 15

\[6\times x squared\]

Answer 16

3^2=9

Answer 17

\[1 \over 9c^2\]the answer is

Answer 18

that seems right

Answer 19

nice job :)

Answer 20

thanks :)

Answer 21

welcome