3^-2+2^2/4^-2/2^-2 evaluate
\[3^{-2}+2^{-2}\div 4^{-2} + 2^{-2}\]
sorry 3^-2 + 2^2
\[\large \frac{3^{-2}+2^2}{4^{-2}+2^{-2}}\]?
\[\frac{ 3^{-2}+2^{-2} }{ 4^{-2}+2^{-2} }\]
yeah! :) @satellite73
there is not short cut here you have to compute each number separately
for example \[3^{-2}=\frac{1}{3^2}=\frac{1}{9}\]
\[\huge \frac{ \frac{ 1 }{ 3^2 }+\frac{ 1 }{ 2^2 } }{ \frac{ 1 }{ 4^2 }+\frac{ 1 }{ 2^2 } }\]
\[2^2=4\\ 4^{-2}=\frac{1}{4^2}=\frac{1}{16}\\ 2^{-2}=\frac{1}{4}\]
Should be pretty simple from there :P
|dw:1400292923662:dw|
@iambatman i think i might be \[\huge \frac{ \frac{ 1 }{ 3^2 }+2^2 }{ \frac{ 1 }{ 4^2 }+\frac{ 1 }{ 2^2 } }\]
do i just divide them now?
Ohhhh yeah nice catch satellite
you have to do the annoying arithmetic top and bottom separately, then divide by multiplying by the reciprocal of the denominator
sorry what do you mean by top and bottom seperatly?
\[\huge \frac{ \frac{ a }{ b } }{ \frac{ c }{ d } } = \frac{ ad }{ bc }\]
for example \[\frac{1}{9}+4=\frac{37}{9}\] that is the top
i got 592/45 as my final answer is that right ? @satellite73 @iambatman
|dw:1400293216844:dw|
Join our real-time social learning platform and learn together with your friends!