Answer:
x=86250
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(1/5)^4*x-13-(125)=0
Step by step solution :
STEP
1
:
1
Simplify —
5
Equation at the end of step
1
:
1
(((—)4) • x) - 13) - 125 = 0
5
STEP
2
:
Equation at the end of step
2
:
1
((—— • x) - 13) - 125 = 0
54
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 625 as the denominator :
13 13 • 625
13 = —— = ————————
1 625
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 :
3.2 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:
x - (13 • 625) x - 8125
—————————————— = ————————
625 625
Equation at the end of step
3
:
(x - 8125)
—————————— - 125 = 0
625
STEP
4
:
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 625 as the denominator :
125 125 • 625
125 = ——— = —————————
1 625
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
(x-8125) - (125 • 625) x - 86250
—————————————————————— = —————————
625 625
Equation at the end of step
4
:
x - 86250
————————— = 0
625
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:
x-86250
——————— • 625 = 0 • 625
625
Now, on the left hand side, the 625 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-86250 = 0
Solving a Single Variable Equation:
5.2 Solve : x-86250 = 0
Add 86250 to both sides of the equation :
x = 86250
One solution was found :
x = 86250