MATHEMATICS MIDDLE SCHOOL

Simplify cube root of 7 over fifth root of 7.7 to the power of 1 over 5
7 to the power of 8 over 15
7 to the power of 5 over 3
7 to the power of 2 over 15

Answers

Answer 1
Answer:

So to put your equation into algebraic terms, your asking for \frac{\sqrt[3]{7}}{\sqrt[5]{7}} .

Firstly, we have to convert these into fractional exponents. The rule to do that is x^{(m)/(n)}=\sqrt[n]{x^m} . Applying that here, our equation is \frac{7^{(1)/(3)}}{7^{(1)/(5)}}

Next, the rule with dividing exponents with the same base is to just subtract the exponents, so with this we are subtracting 1/5 from 1/3. However, we need to find their LCM, or lowest common multiple, of 3 and 5. You can do this by listing out what numbers 3 and 5 are factors of. In this case, the LCM is 15. Multiply 1/3 by 5/5 and 1/5 by 3/3:

(1)/(3)*(5)/(5)=(5)/(15)\n \n (1)/(5)*(3)/(3)=(3)/(15)\n \n \frac{7^{(5)/(15)}}{7^{(3)/(15)}}

Now that they share the same denominator, subtract the numerators of the 2 fractional exponents and your answer will be 7^(2)/(15), or the last option.

Related Questions

80 points math question! please explain in simple terms :)Please make a graph also. The main reason I'm asking this question for such high points is for you to explain your answer and how you got it. I really want to understand.
Plz help me on this it's for corrections
Water flowing from a faucet can fill 1/4 of a tank in 3 minutes. How long does it take to fill the tank completely with water?
What is 5 times 20/25
A chef prepares apples for a fruit salad. She cuts each apple into 6 slices. The following patterns can be made: Pattern A: start with 1 apple and increase by 1 apple Pattern B: start with 6 slices and increase by 6 slices Which ordered pairs represent the number of apples from Pattern A and the number of apple slices from Pattern B?

Garth estimated the height of the door to his classroom in meters .What is a reasonable estimate?

Answers

The height of a door will be around 6 feet and 8 inches, so about 7 feet. You will need to convert this to meters. To do this, you should first know that 1 meter = 3.28 feet. Now, divide 7 by 3.28:

7/3.28 = 2.134

So, a reasonable estimate would be 2 meters.
For this case, the first thing you should do is compare the height of the door with the height of a person.
 On average, a person's height is between the following values:
 1.40 meters - 1.80 meters
 Therefore, we must find an amount that is greater than the maximum amount of a person's height.
 Therefore, a reasonable measure for the height of the door is:
 2 meters
 Answer:
 a reasonable estimate is 2 meters.

aimee's karate class last 1 hour and 15 minutes and is over at 5:00 pm. what time does Aimee's karate class start?

Answers

Aimee's karate class starts at 4:00 pm.

If Aimee's karate class lasts for 1 hour and 15 minutes and ends at 5:00 pm, we can determine the start time by subtracting 1 hour and 15 minutes from 5:00 pm.

To subtract the time, we convert 1 hour and 15 minutes to minutes:

1 hour = 60 minutes

1 hour and 15 minutes = 60 minutes + 15 minutes = 75 minutes

Now, we subtract 75 minutes from 5:00 pm:

5:00 pm - 75 minutes = 4:00 pm

Therefore, Aimee's karate class starts at 4:00 pm.

To know more about subtracting:

brainly.com/question/13619104


#SPJ2
To solve this you would have to subtract 75 minutes from 5:00.

This would make the start time 3:45 pm.

Can a triangle be formed by 7.4 cm , 8.1 cm , 9.8 cm

Answers

No all sides are equal

A type of cell reproduces by splitting itself in half. One cell becomes 2 cells, 2 cells become 4 cells, and 4 cells become 8 cells. What type of sequence does the number of cells represent, and why? It represents an arithmetic sequence because it has a common difference of 2. It represents an arithmetic sequence because it has a common difference of 1/2. It represents a geometric sequence because it has a common ratio of 1/2. It represents a geometric sequence because it has a common ratio of 2.

Answers

It represents a geometric sequence because it has a common ratio of 2.

In fact, a sequence is said to be geometric if any two adjacent elements are in the same ratio. In other words, if you choose any index n \in \mathbb{N} and consider the two consecutive terms a_n and a_(n+1), you have

(a_(n+1))/(a_n) = r

no matter which index you chose. In your case, the next term in the sequence is always the double of the previous one, so the ratio between two consecutive terms is always 2, and the series is geometric with common ratio 2

Answer:

on edge 2021, your answer would be D.) It represents a geometric sequence because it has a common ratio of two.

Hope this helps <3

What is the chance of guessing the order of all 52 cards in a deck correctly? I know its pretty big so just give an estimation. Thanks!

Answers

.
The chance is not pretty big.  It's pretty small.

The chance of guessing the first card correctly is (1/52) =  0.0192
The chance of guessing the 2nd card correctly is (1/51) =  0.0196
The chance of guessing the 3rd card correctly is (1/50) =  0.02
The chance of guessing the 4th card correctly is (1/49) =  0.0204
The chance of guessing the 5th card correctly is (1/48) =  0.0208
The chance of guessing the 6th card correctly is (1/47) =  0.0217
The chance of guessing the 7th card correctly is (1/46) =  0.0217
The chance of guessing the 8th card correctly is (1/45) =  0.0222
The chance of guessing the 9th card correctly is (1/44) =  0.0227
The chance of guessing the 10th card correctly is (1/43) = 0.0233
.
.
.
and you keep going like that.  Then the chance of guessing ALL of them
correctly is the product of all of the individual chances.

After the first ten, listed above, you're already down to

0.00000 00000 00000 00000 00000 00000 00000 00000 00000 00000 0712 .

You're not even 1 tenth of the way through the deck yet, and it just keeps
getting smaller as you keep going.

The chance of guessing the first 10 correctly is       ( 42 ! ) / ( 52 ! ) .
That's the number I just wrote up there, with 51 zeroes after the decimal point.

The chance of guessing the whole deck correctly is       1 / ( 52 !) .
That number starts out with roughly 51 more zeroes.
You might say that it's roughly 1 percent of 1 "googoleth".

My estimation is:  It's almost identical to zero.

Find the surface area of a melon with circumference of 18 in. Round your answer to the nearest square inch.

Answers

that is, the length down the middle of the melon is 18.

\bf \textit{circumference of a circle}\n\n C=2\pi r~~ \begin{cases} r=radius\n \cline{1-1} C=18 \end{cases}\implies 18=2\pi r\implies \cfrac{18}{2\pi }=r\implies \cfrac{9}{\pi }=\boxed{r} \n\n[-0.35em] ~\dotfill

\bf \textit{surface area of an sphere}\n\n A=4\pi r^2~~ \begin{cases} r=radius\n \cline{1-1} \boxed{r}=(9)/(\pi ) \end{cases}\implies A=4\pi \left( \cfrac{9}{\pi } \right)^2\implies A=4\pi \cdot \cfrac{81}{\pi ^2} \n\n\n A=4\cdot \cfrac{81}{\pi }\implies A=\cfrac{324}{\pi }\implies A\approx 103.13\implies \stackrel{\textit{rounded up}}{A=103}
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