Mathematics, 14.07.2019 20:10 crimhill

Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2)

Answers: 1

Show answers

Answers

Answer from: esme3852

$2 ^ { \frac { 5 } { 2 }$

Step-by-step explanation:

We are given the following expression which we are to find its simplest form:

$\frac { 4 ^ { \frac { 5 } { 4 } } \times 4 ^ { \frac { 1 } { 2 } } } { 4 ^ { \frac { 1 } { 2 } } }$

Cancelling the like terms to get:

$4 ^ { \frac { 5 } { 4 } }$

$2 ^ { 2 .\frac { 5 } { 4 } } = 2 ^ { \frac { 5 } { 2 } }$

$2 ^ { \frac { 5 } { 2 }$

Answer from: Quest

step-by-step explanation:

$\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{m^7n^3}{mn^{-1}}=m^{7-1}n^{)}=m^6n^4$

Answer from: Quest

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder: $652=5q+r$

here $q$ ("q" for quotient) is the number of brownies each of your friends get, and $r$ is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so $q=130$ and $r=2$ .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.

Another question on Mathematics

Mathematics, 21.06.2019 15:20

There are 4 cups in a quart and 4 quarts in a ganon.jug of water? . how many cups are in a 5-gallon jug of water?

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

50 people men and women were asked if they watched at least one sport on tv. 20 of the people surveyed are women, but only 9 of them watch at least one sport on tv. 16 of the men watch at least one sport on tv. make a a two-way table and a relative frequency table to represent the data.

Answers: 3

Answer

Mathematics, 21.06.2019 21:40

Question 1 of 10 2 points different groups of 50 graduates of an engineering school were asked the starting annual salary for their first engineering job after graduation, and the sampling variability was low. if the average salary of one of the groups was $65,000, which of these is least likely to be the average salary of another of the groups? o a. $64,000 o b. $65,000 o c. $67,000 o d. $54,000

Answers: 2

Answer

Mathematics, 21.06.2019 22:00

`if you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain. ''.

Answers: 3

Answer

You know the right answer?

Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2)...

Questions