MATHEMATICS HIGH SCHOOL

Simplify.

n 6 · n 5 ÷ n 4 · n 3 ÷ n 2 · n

Answers

Answer 1
Answer:

Answer: n^(9)

Step-by-step explanation:

Given expression: n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

The law of exponents are given by :_

a^m\cdot a^n=a^(m+n)\n\na^m/ a^n=a^(m-n)

Using PEDMAS, first we solve division, we get

n^6\cdot n^(5-4)\cdot n^(3-2)\cdot n\n\n=n^6\cdot n\cdot n\cdot n

Now, using product law of exponent we get

n^(6+1+1+1)\n\n=n^(9)
Answer 2
Answer:

Answer:

The given expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n is n^9            

Step-by-step explanation:

Given : Expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

We have to write the simplified form for the given expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

Consider the given expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

Rewrite it in simpler form, we have,

n^6\cdot(n^5)/(n^4)\cdot (n^3)/(n^2)\cdot n

Apply exponent rule, \:a^b\cdot \:a^c=a^(b+c), we have,

n^6n=\:n^(6+1)

=(n^5)/(n^4)\cdot (n^3)/(n^2)n^(7)

Apply exponent rule, (x^a)/(x^b)=x^(a-b)

(n^5)/(n^4)=n^(5-4)

(n^3)/(n^2)=n^(3-2)

Expression becomes,

=n^7nn

Again apply exponent rule, we have,

\:a^b\cdot \:a^c=a^(b+c)

=n^(1+1+7)=n^9

Thus, The given expression n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n is n^9

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How many possible values of mı will there be if I = 18? A. One value of mı B. Two values of mı C. Three values of mı D. Four values of mı

Answers

Answer:

The answer is option(c) -2,-1,0,+1,+2.

Step-by-step explanation:

i hope I'm correct

Find the input (x) of the function y=3x - 7 if the output (y) is 5

Answers

The input(x) of the function should be 4.

Calculation of the input:

Since the function is y=3x - 7 and the output (y) is 5

So,

y = 3x - 7

5 = 3x - 7

12 = 3x

x = 4

Therefore, we can conclude that The input(x) of the function should be 4.

Learn more about function here: brainly.com/question/24448736

Hello there,

The following question is asking for us to determine the x value if the y value is 5.

In order for us to solve this we start by plugging in 5 for the y value:

  • 5 = 3x - 7

Now we add 7 to both sides:

  • 12 = 3x

Then we divide both sides by 3:

  • 4 = x

Therefore, when the output is 5 the input has to be 4.

Hope I helped,

Amna

Find the value of x so that the ratios are equivalent 9:x and 54:8 i cant seem to get it i tried 48 but it said it was wrong

Answers

Answer:

The answer is 48

Step-by-step explanation:

Which is smaller, -5 or -17 and show your work

Answers

On a number line it seen as this

.... -10, -9, -8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5...

The farther left the number, the smaller it is. So -17 < -5

Solve the equation for the variable. Make sure your answer is in simplest form.30x + 18 = 35 - 4x
x = (?)/(?)
Enter the numbers that belong.​

Answers

Answer:

x = (1)/(2)

Step-by-step explanation:

30x+18=35−4x

First of all using the addition property add 4x to both sides

That's

30x + 4x + 18 = 35 + 4x - 4x \n 34x + 18 = 35

Next using the subtraction property subtract 18 from both sides to make 34x stand alone

We have

34x + 18 - 18 = 35 - 18 \n 34x = 17

Divide both sides by 34

That's

(34x)/(34) = (17)/(34)

We have the final answer as

x = (1)/(2)

Hope this helps you

The surface area of a triangular pyramid is 375.2 m2. What would change if the surface area were measured in square centimeters?   A. The surface area of the pyramid would decrease.   B. The surface area of the pyramid would increase.   C. The surface area of the pyramid would stay the same, but the number representing the surface area would decrease.   D. The surface area of the pyramid would stay the same, but the number representing the surface area would increase

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D. If I told you to walk 1 metre or 100cm you would have walked the same distance but more cm as the ratio of cm:m is 100:1, this is the same thing for surface area except the ratio is 1000:1 
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