Rewrite each expression with positive exponents and simplify.
( –3x^2)^3 *(9x^3)^–1 . i got 243x^3 but its wrong :(

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- anonymous

- jamiebookeater

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- anonymous

Well done for trying. Can you show me your working, either in text, or using Draw, or by scanning/taking a photo and using Attach File?

- anonymous

sure

- anonymous

Great

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## More answers

- anonymous

(-3x^2)^3=-27x^6.
(9x^3)^-1=-9x^-3
then i multiplied the two and got 243x^3

- anonymous

Ok, what should the answer be?

- anonymous

243x^3

- anonymous

oh nvm. what SHOULD it be, lol.

- anonymous

yep :D

- anonymous

well im thinking i need to get a negative exponent. so that i'll have to put the x in the denominator of a fraction

- anonymous

|dw:1327952013711:dw| Is this what the question is, before we go any further?

- anonymous

yep

- anonymous

Alright, then you got the first bit right, but not the second bit. As you said, negative exponents mean it becomes a denominator.

- anonymous

Do you know this rule?|dw:1327952197252:dw|

- anonymous

yes i do.

- anonymous

so the second part is supposed to be like, -9/x^3

- anonymous

Great, so the second bit becomes |dw:1327952244545:dw|

- anonymous

No, that's where you went wrong

- anonymous

The brackets around the (9x^3) means that all of it goes in the denominator, not just the x^3

- anonymous

In any case, 9^-1 is 1/9, not -9

- anonymous

ok, i just miswrote an example my teacher gave me so that threw me off. i was going by that.

- anonymous

No worries, easy mistake to make :D

- anonymous

What do you make of the final answer then?

- anonymous

i got -3x^3

- anonymous

That seems right to me. Have you got the answers page to check with?

- anonymous

yep its right. thank you for explaining it!

- anonymous

You're most welcome! :)

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