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
wlad13 [49]
3 years ago
9

Which of the following is the rational exponent expression of sixth root of f?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

The answer is option B "f^\frac{1}{6}." Rational exponents are exponents that are integers and are fractions. Remember that rational numbers are numbers that can be changed into a fraction but it's the same way with rational exponents they are integers (negative or positive) that can be rewritten as fractions.

Hope this helps!

MAXImum [283]3 years ago
7 0
The rational exponent expression of sixth root of f is  <span>f to the one sixth power
proof
A^1/n, is called n-th root of A, for all n differ from zero</span>
You might be interested in
How do I solve tan(62) = 12/x?
notsponge [240]

Answer:

x = 6/31 = 0.194

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (62)-(12/x)=0

Step by step solution :

Step  1  :

           12

Simplify   ——

           x

Equation at the end of step  1  :

       12

 62 -  ——  = 0

       x

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  x  as the denominator :

          62     62 • x

    62 =  ——  =  ——————

          1        x  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

62 • x - (12)     62x - 12

—————————————  =  ————————

      x              x    

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  62x - 12  =   2 • (31x - 6)

Equation at the end of step  3  :

 2 • (31x - 6)

 —————————————  = 0

       x      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2•(31x-6)

 ————————— • x = 0 • x

     x    

Now, on the left hand side, the  x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (31x-6)  = 0

Equations which are never true :

4.2      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    31x-6 = 0

Add  6  to both sides of the equation :

                     31x = 6

Divide both sides of the equation by 31:

                    x = 6/31 = 0.194

Answer :

                  x = 6/31 = 0.194

Rate?

3 0
3 years ago
Please help I’m failing
vredina [299]

The answer is B.........

8 0
3 years ago
Read 2 more answers
What is the percent markup from 125 to 200
Arte-miy333 [17]
25 is equal to 20% of 125
As the increase is 75 (200-125), you've then got to divide the increase by each part to find out how many times it increases.
75/25= 3
20*3= 60
Therefore, there is an increase of 60% 
Hope this helps :) 
8 0
3 years ago
Read 2 more answers
Find the indicated side of the right triangle x=
adell [148]

9514 1404 393

Answer:

  • x = 9
  • y = 9√2

Step-by-step explanation:

Side lengths in an isosceles right triangle have the reduced ratios ...

  1 : 1 : √2

Yours have the ratios ...

  9 : x : y

If you multiply the reduced ratios by 9, you can find the values of x and y.

  9 : 9 : 9√2 = 9 : x : y

  x = 9

  y = 9√2

6 0
3 years ago
*ANSWER FAST* x-1/x-2 + x-3/x-4 = 3 1/3 [x≠2 , x≠4] find
Natali5045456 [20]

Answer:

x = 5, x = \frac{5}{2}

Step-by-step explanation:

Given

\frac{x-1}{x-2} + \frac{x-3}{x-4} = 3 \frac{1}{3}

\frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)} = \frac{10}{3}

\frac{x^2-5x+4+x^2-5x+6}{x^2-6x+8} = \frac{10}{3}

\frac{2x^2-10x+10}{x^2-6x+8} = \frac{10}{3}  ( cross- multiply )

10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides

10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides

4x² - 30x + 50 = 0 ( divide through by 2 )

2x² - 15x + 25 = 0 ← in standard form

(2x - 5)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

x - 5 = 0 ⇒ x = 5

7 0
3 years ago
Read 2 more answers
Other questions:
  • Q is directly proportional to r.<br> Q is 76 when r is 20.<br> Work out q when r is 45
    8·1 answer
  • Anybody know the answer?
    5·1 answer
  • Select Yes or No to state whether each data set is likely to be normally distributed.
    11·2 answers
  • Sloutions to y=x-4<br> (6,3)<br> (4,0)<br> (3,-1)<br> (2,-4)
    7·2 answers
  • Find the value of x.
    5·2 answers
  • Which of the following lines is parallel to the line y = 4x - 6?
    5·1 answer
  • HELO FASTTTTTT PLEASEEEEE DJEIFJEJCINWKDEMDKENDKWKDS
    9·2 answers
  • At an hourly rate of $10.25 per hour, what would your gross pay be for 38 hours of work?
    11·1 answer
  • Y=2x-1<br><br> 3x+5y=34 <br><br> X=<br> Y=
    10·1 answer
  • Which expression uses the distributive property to represent the sum of 28+42
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!