Question

(2x)^-6 Simplify. Use positive exponents only.

Answer 1

What does it mean by the "use positive exponents only"? When I get my answer it looks like 1/64(x^-6)

Answer 2

1/64x^6

Answer 3

How come it isn't -6?

Answer 4

you multiplied wrong i think.

Answer 5

\[\large (2x)^{-6} = \frac{1}{(2x)^6}\]

\[\large (2x)^{-6} = \frac{1}{2^6*x^6}\]

\[\large (2x)^{-6} = \frac{1}{64x^6}\]

Answer 6

I'm using the idea that

\[\large x^{-k} = \frac{1}{x^k}\]

Answer 7

Okay that makes more sense. Thank you!

Answer 8

yw

Answer 9

would it be 1/64(x^6)

Answer 10

It is \[\large \frac{1}{64x^6}\]

Answer 11

this might be a stupid question but cant the exponent be distributed later on to the 64?

Answer 12

it already has "distributed"

that's how (2x)^6 turned into 64x^6

Answer 13

when you have 64x^6, the exponent of 6 only applies to the x

Answer 14

gotcha, thank ya

Answer 15

yw