Camera input is not recognized!

No solutions found

Try this:

Check out our <a href="/en/terms-and-topics/formatting-guide/">formatting guide</a>
Check out our formatting guide
Check your input for typos
Contact us
Let us know how we can solve this better

We are constantly updating the types of the problems Tiger can solve, so the solutions you are looking for could be coming soon!

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "a1" was replaced by "a^1".

Rearrange:

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

1/t-(1/a^1/b)=0

Step 1 :

            1
 Simplify   —
            a

Equation at the end of step 1 :

  1    1
  — -  — ÷ b  = 0 
  t    a

Step 2 :

         1      
 Divide  —  by  b
         a

Equation at the end of step 2 :

  1     1
  — -  ——  = 0 
  t    ab

Step 3 :

            1
 Simplify   —
            t

Equation at the end of step 3 :

  1     1
  — -  ——  = 0 
  t    ab

Step 4 :

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

      The left denominator is :       t

      The right denominator is :       ab

Number of times each Algebraic Factor
appears in the factorization of:
Algebraic Factor	Left Denominator	Right Denominator	L.C.M = Max {Left,Right}
t	1	0	1
a	0	1	1
b	0	1	1

Least Common Multiple:
tab

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by L.C.M
    Denote the Left Multiplier by Left_M
    Denote the Right Multiplier by Right_M
    Denote the Left Deniminator by L_Deno
    Denote the Right Multiplier by R_Deno

   Left_M = L.C.M / L_Deno = ab

   Right_M = L.C.M / R_Deno = t

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)² and (y²+y)/(y+1)³ are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

   L. Mult. • L. Num.       ab
   ——————————————————  =   ———
         L.C.M             tab

   R. Mult. • R. Num.       t 
   ——————————————————  =   ———
         L.C.M             tab

Adding fractions that have a common denominator :

4.4 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:

 ab - (t)     ab - t
 ————————  =  ——————
   tab         tab

Equation at the end of step 4 :

  ab - t
  ——————  = 0 
   tab

Step 5 :

When a fraction equals zero :

 5.1    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:

  ab-t
  ———— • tab = 0 • tab
  tab

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

The equation now takes the shape :
ab-t = 0

Solving a Single Variable Equation :

5.2 Solve -t+ab = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.