Question

Moira does one-half of a homework assignment on Monday. On Tuesday, Wednesday, and Thursday, she does one-half of the homework she has left over from the day before. Write and evaluate an expression using exponents to find the fraction of the original assignment Moira will have to do on Friday in order to completely finish her homework.

Answer 1

1/32
Monday 1/2
Tuesday 1/4
Wednesday 1/8
Thursday 1/16
Friday 1/32
All you have to do is multiply 1/2 to every one till you get to friday

Answer 2

`(1)/(32)` of work is done on friday

Explanation:

Let x denotes the amount

On Monday :

Work done =
`(x)/(2)`

Work left :
`x-(x)/(2)=(x)/(2)`

On Tuesday :

Work Done =
`\left ( (1)/(2) \right )(x)/(2)=(x)/(4)`

Work Left =
`(x)/(2)-(x)/(4)=(x)/(4)`

On Wednesday :

Work Done =
`(1)/(2)\left ( (x)/(4) \right )=(x)/(8)`

Work Left =
`(x)/(4)-(x)/(8)=(x)/(8)`

On Thursday :

Work Done =
`\left ((1)/(2)  \right )(x)/(8)=(x)/(16)`

Work Left =
`(x)/(8)-(x)/(16)=(x)/(16)`

On Friday :

Work Done =
`(1)/(2)\left ( (x)/(16) \right )=(x)/(32)`