- Thread starter SaltyPoro
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The exponent (-2) applies to both factors inside the grouping symbols (i.e., the 6 and the m(6m^{4})^{-2 }x 9m^{-3 }I've done up to 6m^{-8 }x 9m^{-3}…

Remember the property:

(a·b)^n = a^n · b^n

That's not the correct answer. Are you sure you typed the given expression correctly?… I have no idea how to get to the answer which is 9/m^{11 }

The answer sheet on the bottom of the page had the answer as 9/mThe exponent -2 applies to both the 6 and the m^{4}.

Remember the property:

(a·b)^n = a^n · b^n

That's not the correct answer. Are you sure you typed the given expression correctly?

I'm pretty sure I typed the expression correctly, the following is as it appears of the worksheet (6m^4)^-2 · 9m^-3

The notes I have are (a

E.g. Simplify (10^6)^2 = 10^12

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There's a mistake somewhere in your materials. If we delete the 6, the answer becomes 9/m^11.The answer sheet on the bottom of the page had the answer as 9/m^{11 }(As a fraction).

I'm pretty sure I typed the expression correctly, the following is as it appears of the worksheet (6m^4)^-2 · 9m^-3

Your example is a different form. When you have a product being raised to a power, each factor in the product gets raised to the power.The notes I have are (a^{m})^{n }= a^{mn}. I assumed the 6 would stay the same because all the questions that had been done in my book were done the same way.

E.g. Simplify (10^6)^2 = 10^12

(a·b)^n = a^n · b^n

EG: (6·10^6)^2 = 6^2 · 10^12

Maybe this property will be on your next worksheet! :cool:

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You ought to have the definition of negative exponents, in your notes, too.

m^(-8) = 1/m^8

Yes?

m^(-8) = 1/m^8

Yes?

Yep, I have that in my notes.You ought to have the definition of negative exponents, in your notes, too.

m^(-8) = 1/m^8

Yes?

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If you delete the 6 from the original exercise, can you get the given answer? :cool:

Yes. ;-;If you delete the 6 from the original exercise, can you get the given answer? :cool:

I spent ages trying to figure this question out, didn't realise there was a mistake in the sheet .

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If one of your earlier attempts on the exericse as given yielded 1/(4m^11), then you did good.