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Mathematics 11 Online
OpenStudy (luvhawks711):

i need help!

OpenStudy (luvhawks711):

OpenStudy (luvhawks711):

i need help!

OpenStudy (luvhawks711):

@mathmale

OpenStudy (luvhawks711):

@King.Void.

OpenStudy (luvhawks711):

@DarryQX

OpenStudy (luvhawks711):

help!

OpenStudy (luvhawks711):

@mathmale @mathmath333

OpenStudy (luvhawks711):

@hreeg97 @Taylor.Joe

OpenStudy (anonymous):

we are not just going to do your homework for you! you have to ask specific problems

OpenStudy (darryqx):

Multiplying Power w/ the Same Base: when you are multiplying, and the bases are the same, you ADD the exponents. e.g., \[ x^{2}+x^{3}=x^{2+3}=x^{5}\] Power to a Power: To find a power of a power, multiply the exponents. e.g., \[(x^{2})^{3}=x^{2\times3}=x^{6}\] Quotient to a Power: When you raise a quotient to a power you raise both the numerator and the denominator to the power. e.g., \[(\frac{ x }{ y })^{2}=(\frac{ x^{2} }{ y^{2} })\] Exponent of Zero: Always equals 1 e.g., \[x^{0}=1\] Negative Exponents: All I know about negative exponents is \[x^{-n}=\frac{ 1 }{ x^{n} }\], but this might help: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/negative-exponents

OpenStudy (darryqx):

@luvhawks711 - this should be able to help you with your homework. Good luck.

OpenStudy (luvhawks711):

@SolomonZelman

OpenStudy (luvhawks711):

@sweetburger

OpenStudy (luvhawks711):

@Michele_Laino

OpenStudy (luvhawks711):

@Zarkon

OpenStudy (luvhawks711):

@ghgbf

OpenStudy (luvhawks711):

@MissSmartiez

OpenStudy (michele_laino):

hint: \[\huge {x^3} \cdot {x^5} = {x^{3 + 5}} = ...?\]

OpenStudy (luvhawks711):

i need help with e) d) f) g) h)

OpenStudy (michele_laino):

question d) for any quantity \(n\), I can write: \[\huge {n^0} = 1\]

OpenStudy (luvhawks711):

ok, e)

OpenStudy (michele_laino):

of course \(n \neq 0\)

OpenStudy (luvhawks711):

yep

OpenStudy (michele_laino):

\[\huge \frac{{2{x^{ - 3}}y}}{{4{x^2}}} = \frac{2}{4} \cdot {x^{ - 3 - 2}} \cdot y = ...?\]

OpenStudy (luvhawks711):

-6

OpenStudy (michele_laino):

hint: we have: \[\Large \frac{2}{4} = \frac{1}{2}\] and: \[\Large {x^{ - 3 - 2}} = {x^{ - 5}}\]

OpenStudy (luvhawks711):

|dw:1456439180766:dw|

OpenStudy (michele_laino):

I got this: \[\Large \frac{{2{x^{ - 3}}y}}{{4{x^2}}} = \frac{2}{4} \cdot {x^{ - 3 - 2}} \cdot y = \frac{1}{2}{x^{ - 5}}y\]

OpenStudy (luvhawks711):

ok, f)

OpenStudy (michele_laino):

hint: \[\huge \frac{{3{x^3}y}}{{4x{y^{ - 5}}}} = \frac{3}{4} \cdot {x^{3 - 1}} \cdot {y^{1 - \left( { - 5} \right)}} = ...?\]

OpenStudy (michele_laino):

please keep in mind that I have used this property: \[\huge \frac{{{y^m}}}{{{y^n}}} = {y^{m - n}}\]

OpenStudy (michele_laino):

what is \(3-2=...?\) and, what is \(1-(-5)=1+5=...?\)

OpenStudy (luvhawks711):

h)

OpenStudy (luvhawks711):

?

OpenStudy (michele_laino):

we can write this: \[\Large {\left( {\frac{{5{x^2}}}{{3{y^3}}}} \right)^{ - 2}} = {\left( {\frac{5}{3}{x^2}{y^{ - 3}}} \right)^{ - 2}} = \frac{{{5^{ - 2}}}}{{{3^{ - 2}}}}{x^{2 \cdot \left( { - 2} \right)}}{y^{\left( { - 3} \right) \cdot \left( { - 2} \right)}} = ...?\]

OpenStudy (michele_laino):

\[\huge \begin{gathered} {\left( {\frac{{5{x^2}}}{{3{y^3}}}} \right)^{ - 2}} = {\left( {\frac{5}{3}{x^2}{y^{ - 3}}} \right)^{ - 2}} = \hfill \\ \hfill \\ = \frac{{{5^{ - 2}}}}{{{3^{ - 2}}}}{x^{2 \cdot \left( { - 2} \right)}}{y^{\left( { - 3} \right) \cdot \left( { - 2} \right)}} = ...? \hfill \\ \end{gathered} \]

OpenStudy (michele_laino):

I have to distribute the outer exponent which is \(-2\)

OpenStudy (luvhawks711):

ok

OpenStudy (luvhawks711):

i need help with part 3 a and b

OpenStudy (luvhawks711):

@freckles @Jintao.Andrew @TheCuteOne25 @edbf123 @Saylilbaby @hansC

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