Question
Simplify the expression
72b1−3744b
Evaluate
1÷72b−52
Rewrite the expression
72b1−52
Reduce fractions to a common denominator
72b1−72b52×72b
Write all numerators above the common denominator
72b1−52×72b
Solution
72b1−3744b
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Find the excluded values
b=0
Evaluate
1÷(72b)−52
To find the excluded values,set the denominators equal to 0
72b=0
Solution
b=0
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Find the roots
b=37441
Alternative Form
b=0.000267˙09401˙
Evaluate
1÷(72b)−52
To find the roots of the expression,set the expression equal to 0
1÷(72b)−52=0
Find the domain
1÷(72b)−52=0,b=0
Calculate
1÷(72b)−52=0
Multiply the terms
1÷72b−52=0
Rewrite the expression
72b1−52=0
Subtract the terms
More Steps

Simplify
72b1−52
Reduce fractions to a common denominator
72b1−72b52×72b
Write all numerators above the common denominator
72b1−52×72b
Multiply the terms
72b1−3744b
72b1−3744b=0
Cross multiply
1−3744b=72b×0
Simplify the equation
1−3744b=0
Move the constant to the right side
−3744b=0−1
Removing 0 doesn't change the value,so remove it from the expression
−3744b=−1
Change the signs on both sides of the equation
3744b=1
Divide both sides
37443744b=37441
Divide the numbers
b=37441
Check if the solution is in the defined range
b=37441,b=0
Solution
b=37441
Alternative Form
b=0.000267˙09401˙
Show Solution
