Question
Solve the equation
a=55750
Alternative Form
a≈0.751696
Evaluate
a5×750=180
Use the commutative property to reorder the terms
750a5=180
Divide both sides
750750a5=750180
Divide the numbers
a5=750180
Cancel out the common factor 30
a5=256
Take the 5-th root on both sides of the equation
5a5=5256
Calculate
a=5256
Solution
More Steps

Evaluate
5256
To take a root of a fraction,take the root of the numerator and denominator separately
52556
Multiply by the Conjugate
525×525456×5254
Simplify
525×525456×55125
Multiply the numbers
More Steps

Evaluate
56×55125
Multiply the terms
5750×5
Use the commutative property to reorder the terms
55750
525×525455750
Multiply the numbers
More Steps

Evaluate
525×5254
The product of roots with the same index is equal to the root of the product
525×254
Calculate the product
5255
Transform the expression
5510
Reduce the index of the radical and exponent with 5
52
5255750
Reduce the fraction
More Steps

Evaluate
525
Use the product rule aman=an−m to simplify the expression
52−11
Subtract the terms
511
Simplify
51
55750
a=55750
Alternative Form
a≈0.751696
Show Solution
