Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (zzelinski):

(-5g^-3h^4)^-3

OpenStudy (zzelinski):

\[(-5g^{-3}h ^{4})^{-3}\]

OpenStudy (zzelinski):

Simplify and write without negative exponents I am so lost

OpenStudy (skullpatrol):

What does a "negative" exponent mean?

OpenStudy (zzelinski):

when the exponent is negative...and the result is a fraction?

OpenStudy (skullpatrol):

Yes.

OpenStudy (skullpatrol):

$$(-5g^{-3}h^4)^{-3}=\frac{1}{(-5g^{-3}h^4)^{3}}$$

OpenStudy (zzelinski):

oh that makes sense! Thanks!

OpenStudy (skullpatrol):

There is still one more negative exponent.

OpenStudy (skullpatrol):

$$ \frac{1}{(-5g^{-3}h^4)^{3}}=\frac{1}{(-5\frac{1}{g^{3}}h^4)^{3}} $$

OpenStudy (zzelinski):

\[\frac{ 1 }{ -5\frac{ 1 }{ g ^{9} } h ^{12}} \] is that right?

OpenStudy (skullpatrol):

Yes, now bring the $$g^9$$ factor into the numerator

OpenStudy (skullpatrol):

Also you missed$$(-5)^3$$

OpenStudy (zzelinski):

\[\frac{ g ^{9} }{ -125h ^{12} }\]

OpenStudy (zzelinski):

?

OpenStudy (skullpatrol):

Correct.

OpenStudy (zzelinski):

YES!!! Thanks so much for your help!

OpenStudy (skullpatrol):

Thank you for trying to learn :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!