Question

(-2x^3)^-2

Answer 1

ok since the exponent is outside the parenthesis you would distribute it inside the parenthesis, any idea how to do that?

Answer 2

no not really

Answer 3

You would multiply the exponents so -2x^-6 do you know what you would do to the whole #?

Answer 4

\((-2x^3)^{-2}\)
This can be expanded out to make it easier to understand.
\((-2\times x\times x \times x)^{-2}\)

Answer 5

\(x^2 = x \times x\)
\((x^2)^2 = x^2 \times x^2 = x \times x \times x \times x\)

Answer 6

@jamie_ballenger does this make sense?

Answer 7

I would make the-2 positive right

Answer 8

2 negatives make a positive

Answer 9

Yes, 2 negatives make a positive.

Answer 10

Think about what you are multiplying.

Answer 11

2x^-6?

Answer 12

Not quite.

Answer 13

The entire term is being raised to the -2 power, not just the x.

Answer 14

4x^-6

Answer 15

Closer, but remember the negative exponent, the negative can't just disappear.

Answer 16

im lost

Answer 17

\(x^{-1} = \dfrac{1}{x}\)

Answer 18

Distribute the exponent:
\((-2)^{-2} \times x^{-6} =\)

Answer 19

\(-2 \times -2 = 4\) but that 4 still needs a -1 exponent.

Answer 20

A negative exponent inverts the fraction.

Answer 21

A little more clear yet?

Answer 22

yes