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Mathematics 22 Online
OpenStudy (david954954):

Question in Screenshot.

OpenStudy (david954954):

rishavraj (rishavraj):

\[a^x \times a^y = a^{x+y}\]

rishavraj (rishavraj):

and ur answer is incorrect

rishavraj (rishavraj):

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

OpenStudy (david954954):

so its \[4^2\]

563blackghost (563blackghost):

Close. If we follow what @rishavraj said we would still have a negative as an exponent... \(\Huge{4^{6} \times 4^{-8} = 4^{(6 + -8)} = 4^{-2}}\) Since the exponent is still a negative we would have it in fraction form to rid of the negative... \(\Huge{\frac{1}{4^{2}}=\frac{1}{16}}\)

563blackghost (563blackghost):

Do you understand?

OpenStudy (david954954):

No im confused with the \[\frac{ 1 }{ 4 } = \frac{ 1 }{ }\]

OpenStudy (david954954):

excuse me 1 over 16

563blackghost (563blackghost):

That is the simplification of the fraction.... Like @rishavraj said... \(\Huge{a^{-x}=\frac{1}{a^{x}}}\) This shows that if you have a negative exponent you would then convert it to fraction form in which i did with your problem.... \(\Huge{4^{-2}=\frac{1}{4^{2}}}\) This is done so we can rid of the negative... Now \(\Large{4^{2}}\) can be simplified by multiplying itself `4 x 4` in which we would get 16 but \(\Large\frac{1}{16}\) is not one of the choices so we would leave it as \(\LARGE{\frac{1}{4^{2}}}\)...

OpenStudy (david954954):

Ok that makes more sense to me now thanks im not really good at math thanks so much

563blackghost (563blackghost):

np :)

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