Simplify:

-4(x^2)^7(w^8)^322x^6(w^10)^3 z

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- Nov 25th 2008, 07:11 AMElliPlease help to simplify..
Simplify:

__-4(x^2)^7(w^8)^3__22x^6(w^10)^3 z

- Nov 25th 2008, 07:14 AMChris L T521
- Nov 25th 2008, 07:21 AMElli
Thanks, Chris

I got this answer:

__-2x^8w^6__11z

but my answers give me w^-6 "under the line" - Nov 25th 2008, 07:26 AMChris L T521
- Nov 25th 2008, 08:12 AMElli
so, how do you know when it goes "underline" or above?

the w6 - Nov 25th 2008, 09:33 AMmasters
Hello Elli,

When you have a variable with exponent in the numerator and same variable with exponent in the denominator, subtract the exponents (numerator exponent - denominator exponent).

If the result is positive, leave the variable with the new exponent in the numerator. If the exponent is negative, put the variable with new exponent in the denominator.

See Chris's last example.

$\displaystyle \frac{w^{24}}{w^{30}}=w^{-6}=\frac{1}{w^6}$

When he subtracted 24-30, the result was -6. So he put the $\displaystyle w^6$ in the denominator.