Ask your own question, for FREE!
Mathematics 4 Online
Ferrari:

HELP PLEASE

Ferrari:

1 attachment
Ferrari:

please please help

Extrinix:

So what you wanted to do here is use the rule of `a power in a power`, which is this: \(\sf\color{gray}{\text{If a base is raised to a power that is then raised to another power} \\ \text{you multiply the two powers together}}\) Using this rule, you use the -2 power associated on the outside of the parenthesis and multiply every power inside of it by -2.

Ferrari:

okay i don't really understand that i have to do this quickly

Ferrari:

i'll just do it tomorrow :|

Ferrari:

????????

Juss1Jordan:

With what?

jhonyy9:

use this \[x^{-2} = \frac{ 1 }{ x^{2} }\]

Extrinix:

Here, I'll draw up the equations \(\color{gray}{\sf{\huge{(}}\dfrac{y^{-2}z^3}{z^{-4}y^5}{\huge{)^{-2}}}}\) That's what it normally looks like, but this is what the -2 does \(\color{gray}{\sf{\huge{(}}\dfrac{y^{4}z^{-6}}{z^{8}y^{-10}}{\huge{)}}}\) Now from that, you can divide both of them, using the rule of power division, which is below \(\sf{\color{gray}{\text{If an exponent with the same base variable is divided by a similar variable, } \\ \text{the exponent of the numerator is subtracted by the exponent of the denominator.}}}\) This would give you \(\sf\color{gray}{y^{(4)-(-10)} z^{(-6)-(8)}}\)

Extrinix:

Whoops sorry jhonyy, didn't see you typing

jhonyy9:

@extrinix wrote:
So what you wanted to do here is use the rule of `a power in a power`, which is this: \(\sf\color{gray}{\text{If a base is raised to a power that is then raised to another power} \\ \text{you multiply the two powers together}}\) Using this rule, you use the -2 power associated on the outside of the parenthesis and multiply every power inside of it by -2.
please explain it why ? so bc. \[\left( \left( x^{b} \right)^{a} \right) = x^{a*b}\]

jhonyy9:

@extrinix wrote:
Here, I'll draw up the equations \(\color{gray}{\sf{\huge{(}}\dfrac{y^{-2}z^3}{z^{-4}y^5}{\huge{)^{-2}}}}\) That's what it normally looks like, but this is what the -2 does \(\color{gray}{\sf{\huge{(}}\dfrac{y^{4}z^{-6}}{z^{8}y^{-10}}{\huge{)}}}\) Now from that, you can divide both of them, using the rule of power division, which is below \(\sf{\color{gray}{\text{If an exponent with the same base variable is divided by a similar variable, } \\ \text{the exponent of the numerator is subtracted by the exponent of the denominator.}}}\) This would give you \(\sf\color{gray}{y^{(4)-(-10)} z^{(-6)-(8)}}\)
np GOOD JOB - explained perfect CONGRATS !!!

Ferrari:

yes thank you very much both

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!