Question

Please show steps to simplify this:

8(1-(1/2)^9)/(1-(1/2)

Answer 1

\[=\frac{ 8(1-(\frac{ 1 }{ 2 })^9) }{ 1-\frac{ 1 }{ 2 } }\]like this?

Answer 2

@Nancyg94

Answer 3

Yes!

Answer 4

okay..

Answer 5

\[=\frac{ 8(1-\frac{ 1 }{ 512 }) }{ -\frac{ 1 }{ 2 } }\]

Answer 6

\[\color{red}{(\frac{ 1 }{ 2 })^9=\frac{ 1 }{ 512 }}\]

Answer 7

\[\color{blue}{1-\frac{ 1 }{ 2 }=-\frac{ 1 }{ 2 }}\]

Answer 8

\[=\frac{ 8(1-\color{red}{\frac{ 1 }{ 512 }}) }{ \color{blue}{-\frac{ 1 }{ 2 }} }\]

Answer 9

I thought 1-(1/2)= (1/2)

Answer 10

1-(1/2) is the same as 1-1/2

Answer 11

\[1\color{red}{-1}(\frac{ 1 }{ 2 })=1\color{red}{-1}\times \frac{ 1 }{ 2 }=1-\frac{ 1 }{ 2 }\]

Answer 12

\[\color{green}{1-\frac{ 1 }{ 512 }=\frac{ 511 }{ 512 }}\]\[=\frac{ 8(\color{green}{\frac{ 511 }{ 512 }}) }{ -\frac{ 1 }{ 2 } }\]

Answer 13

\[\color{aqua}{8(\frac{ 511 }{ 512 })=1\cancel{8}\times \frac{ 511 }{ 64\cancel{512} }}\]\[=\frac{ \color{aqua}{\frac{ 511 }{ 64 }} }{ -\frac{ 1 }{ 2 } }\]

Answer 14

\[=\frac{ 511 }{ 64 }\div -\frac{ 1 }{ 2 }\]\[=\frac{ 511 }{ 64 }\times-\frac{ 2 }{ 1 }\]

Answer 15

\[=\frac{ 511 }{ 32\cancel{64} }\times-\frac{ 1\cancel{2} }{ 1 }\]\[=\frac{ 511 }{ 32 }\times-1\]\[=?\]solve it! @Nancyg94

Answer 16

-511/32

Answer 17

Thanks

Answer 18

yep,that's right!

Answer 19

yw!