Why do whole numbers raised to an exponent get greater well fractions raised to an exponent get smaller

Answers

Answer 1

Answer: Because when you raise an exponent on a fraction, it is basically dividing into itself. Imagine 1/3 multiplied my 3 (Ans is 1), the fractions aren't whole numbers so when they multiply into another number, it uses division

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Help how to solve! 24=3r divided by 4

Answers

24=3r/4
multiply 4 on both sides
96=3r
divide 3r and 96 by 3
r=32

a store owner is arranging clothing on racks. She has 30 sweaters, 45 shirts and 15 pairs of jeans. She wants to put the same number of items on each rack, with only one type of item on each. How many items can she put on a rack?

Answers

I think what the teacher wants is 15 which is the greatest common factor of all three numbers and the factors of 15 are
1 x 15 and 3 x 5 so the she can put one of each, or she can put 3 of each,
or she can put 5 of each , or she can put 15 of each.

The problem is unclear however because as worded she could put 2 sweaters, 2 shirts and 2 pair of jeans. I think the teacher wants all the jeans used. The number 1,3,5 and 15 will use up all of the jeans.
1 jean on 15 racks
or 3 jeans on 5 racks
or 5 jeans on 3 racks
or 15 jeans on one rack

These are the sort of ambiguous word problems 4th graders are exposed to on a daily basis. As the gentleman mentioned, the teacher expects 15, the largest common factor but 1 on each rack fits as well. It should have read “what’s the maximum number of the same item can he/she place on the racks?”

95 divided by 4 and 34 divided by 2

Answers

$95/4=(95)/(4)=23(3)/(4)$ $or$ $23r3$

and

$34/2=(34)/(2)=17$

the first answer is 23.75
the second answer is 17.

What is the gcf of 86,129,and 215

Answers

The gcf of 86,129 and 215 is 43.

the gcf of 86,129,and 215 is 43 :)

the length of the flower garden is 3 times as great as the width. what are the dimensions of the flower garden

Answers

Without any more information we can't find the actual numerical representation of the length and width but we can give an expression that will allow us to find them...

We let the width equal x, so the length is 3x. That would be the dimensions...

length = 3x
width = x

So to find perimeter the expression would be

2(3x) + 2(x) =
6x + 2x =
8x

For the area it would be

a= length × width
a = 3x × x
a = 3x^2

If the diameter of a circle is 24m what is the radius

Answers

12 cm long
diameter/2=radius

Always remover when diameter is the full line and radius is just half of the diameter 24/2 is 12 so the radius is 12

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