Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

Simplify. Can anyone help me with question!? Thankss! The answer is C, just dont know how they got that answer!

OpenStudy (anonymous):

hartnn (hartnn):

u know this property? \[(x ^{p})^{q}= x ^{p*q}\]

OpenStudy (anonymous):

ive seen it! what are the other properties?

hartnn (hartnn):

\[(\frac{ x }{ y })^{p}=\frac{ x ^{p} }{ y ^{p} }\]

hartnn (hartnn):

and \[x^{-p}=\frac{1}{x ^{p}}\]

OpenStudy (anonymous):

okay thanks! wait so shouldnt the asnwer be d

hartnn (hartnn):

nopes,it comes out to be C if u work out step by step...

OpenStudy (anonymous):

can you work it out with me?

hartnn (hartnn):

yes....u start i will follow....

OpenStudy (anonymous):

ok so i multipled 4 * -3/2 and got -6 and i multiplied 2 * -3/2 and got -3

hartnn (hartnn):

no,no....(-3/2) is in the power,that is its the exponent,and u multiply it with exponent only,not the number tell me 4 is 2 raised to what?

OpenStudy (anonymous):

-3? im so confused..

hartnn (hartnn):

can i write 4 as \[4=2^{2}\]

OpenStudy (anonymous):

yes

hartnn (hartnn):

how will i write 9?

OpenStudy (anonymous):

3^2

hartnn (hartnn):

very good,now we have exponents as 2,right.....now we can multiply by -3/2 to get \[(2^2)^{-\frac{ 3 }{ 2 }}=2^{2*-\frac{ 3 }{ 2 }}=2^{-3}\]=1/8 got this? can u do it for 9?

OpenStudy (anonymous):

1/27?

hartnn (hartnn):

yes u are correct :)

hartnn (hartnn):

so which option do u see 8 and 27 ?

OpenStudy (anonymous):

c thanks!

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!