1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margaret [11]
3 years ago
6

Simplify. n 6 · n 5 ÷ n 4 · n 3 ÷ n 2 · n

Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

Answer: n^{9}

Step-by-step explanation:

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

The law of exponents are given by :_

a^m\cdot a^n=a^{m+n}\\\\a^m\div 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^6\cdot n\cdot n\cdot n

Now, using product law of exponent we get

n^{6+1+1+1}\\\\=n^{9}

kakasveta [241]3 years ago
6 0

Answer:

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

Step-by-step explanation:

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

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

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

Rewrite it in simpler form, we have,

n^6\cdot\frac{n^5}{n^4}\cdot \frac{n^3}{n^2}\cdot n

Apply exponent rule, \:a^b\cdot \:a^c=a^{b+c}, we have,

n^6n=\:n^{6+1}

=\frac{n^5}{n^4}\cdot \frac{n^3}{n^2}n^{7}

Apply exponent rule, \frac{x^a}{x^b}=x^{a-b}

\frac{n^5}{n^4}=n^{5-4}

\frac{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\div n^4\cdot n^3\div n^2\cdot n is n^9

You might be interested in
A bookstore is having a sale in which customers can purchase 6 books for a price of b dollars. Which expression represents the p
Evgen [1.6K]
That would be 6/b <====
5 0
3 years ago
What is the slope of the line with equation 3x - 2y = 12
n200080 [17]

The slope of the line is 2/3

5 0
3 years ago
What is the decimal equivalent of 5/16? .
Ivahew [28]
To find the decimal equivalent:

DIVIDE 5 by 16.

5/16=0.3125

The answer is <span>0.3125</span>
8 0
3 years ago
Someone please explain the solution to this :
juin [17]

Answer: 17.5 units.

Step-by-step explanation:

The triangle LAY is a similar triangle to LYW. It has the same angle measures, but different side lengths. The hypotenuse of LAY is the line LY, while the hypotenuse of LYW is the line LW.

We can use the line LY to find LW.

Use the Pythagorean Theorem to find LY:

(3.5)^2 + 7^2 = 61.25

So, LY has a length of \sqrt{61.25}.

You can then use proportions to find the distance of LW.

The line LA is the base of the smaller triangle, and the line LY is the base of the larger triangle.

The line LY is the hypotenuse of the smaller triangle, and the line LW is the hypotenuse of the larger triangle.

\frac{3.5}{\sqrt{61.25} } =\frac{\sqrt{61.25} }{y}

You can then cross multiply to get this equation:

61.25 = 3.5y

So, the line LW has a length of 17.5.

3 0
3 years ago
Help please I’ll mark brainliest
MakcuM [25]

Answer:

a. east

b. 60 feet per second

Step-by-step explanation:

did this a while ago.

a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.

b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.

7 0
3 years ago
Other questions:
  • Solve sec2theta + tantheta - 3 =0 for 0
    11·1 answer
  • How many atoms are in 2.50 moles of iron
    8·1 answer
  • A 6foot tree casts a 3.25 ft shadow. How tall is a tree that casts a 10 ft shadow?
    11·1 answer
  • I NEED A EXPLAINATION
    13·1 answer
  • The sum of two numbers is 104. The larger number is 3 more than the smaller number.
    7·1 answer
  • If(x)= 2e^x-1 +3 , what is f^-1 (x)
    10·1 answer
  • PLease help asap!!! :)
    9·1 answer
  • 8. Consider the diagram below. Solve for k.
    6·2 answers
  • A circle has a diameter of 20 ft. What is the diameter? *
    12·2 answers
  • What is the value of the element in row 1, column 1 of matrix x? [4 y 0 1] x= [y 4]
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!