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Mathematics 8 Online
OpenStudy (sorryimfrankie):

Easy Question??

OpenStudy (sorryimfrankie):

OpenStudy (jdoe0001):

if it's easy, makes one wonder how come you haven't done it

OpenStudy (sorryimfrankie):

then explain it to me please? you're not helping...

OpenStudy (muddygirl):

-1/2 i think. it is definitely one of the negative ones

OpenStudy (sorryimfrankie):

Can you explain it to me?

jhonyy9 (jhonyy9):

so i think the last one is the right answer 64

OpenStudy (jdoe0001):

ohhh I see, so it's NOT easy then... as you see it, well then one sec

OpenStudy (jdoe0001):

first off, things to keep in mind \(\bf a^{-\frac{{\color{blue} n}}{{\color{red} m}}} = \cfrac{1}{a^{\frac{{\color{blue} n}}{{\color{red} m}}}} \implies \cfrac{1}{\sqrt[{\color{red} m}]{a^{\color{blue} n}}}\qquad\qquad % radical denominator \cfrac{1}{\sqrt[{\color{red} m}]{a^{\color{blue} n}}}= \cfrac{1}{a^{\frac{{\color{blue} n}}{{\color{red} m}}}}\implies a^{-\frac{{\color{blue} n}}{{\color{red} m}}}\) so.. let's see yours... one sec

OpenStudy (jdoe0001):

hmmm actually, I meant to say \(\bf a^{-{\color{red} n}} \implies \cfrac{1}{a^{\color{red} n}}\qquad \qquad \cfrac{1}{a^{\color{red} n}}\implies a^{-{\color{red} n}} \\ \quad \\ % negative exponential denominator a^{{\color{red} n}} \implies \cfrac{1}{a^{-\color{red} n}}\) anyhow, one sec, let's see yours

OpenStudy (jdoe0001):

\(\bf \left( \cfrac{jk^{-2}}{j^{-1}k^{-3}} \right)^3 \\ \quad \\ \left( j^1\cdot k^{-2}\cdot \cfrac{1}{j^{-1}}\cdot \cfrac{1}{k^{-3}}\right)^3 \implies \left( j^1 \cdot \cfrac{1}{\cancel{k^2}}\cdot j^1\cdot \cancel{k^3}\right)^3 \\ \quad \\ \left( j^1j^1k^1 \right)^3\implies (j^2k)^3\) pretty sure you can take it from there

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