chef ollie has a community garden. she uses 2/6 of the farmland to grow beets and 1/6 of the farmland to grow kale. how much of the farmland is left? color in the grids to show how chef ollie might use the rest of her community garden. Write an equation to match.

1/2 of farm land left.

Step-by-step explanation:

  Ok so we know that Chef Ollie has a community garden. And that she uses of the farmland to grow beets. The denominator 6 lets you know immediately that the land is divided into equal 6 pieces. We also know that Chef Ollie uses another of the farmland to grow kale.

  Because the we need to find out how much land Chef Ollie has left, we need to subtract the amount she used from the whole. Before we can do that we must add up the total amount of used land, and since the denominators are the same we can directly add and subtract with having to change the denominator.

Step 1: Write down important numbers.

, ,

Step 2: Add those numbers together.

or

Step 3: Write an expression/equation.

Step 4: Solve

=    

(can be written both ways)

  And you get your After Chef Ollie has used to grow beets and to grow kale, she has of her farmland left untouched.

  To represent this you could draw a circle divided in 6 pieces and shade 3 of them, or simply draw a circle and shade half. As well as drawing a rectangle and dividing it into 6 pieces, shading 3, or draw a rectangle, and shade half.

You are welcome ;) .

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: