Question
Solve the equation
x=2580
Alternative Form
x≈1.201124
Evaluate
180=18×2x5×8
Simplify
More Steps

Evaluate
18×2x5×8
Reduce the fraction
18x5×4
Use the commutative property to reorder the terms
18×4x5
Multiply the numbers
72x5
180=72x5
Swap the sides of the equation
72x5=180
Divide both sides
7272x5=72180
Divide the numbers
x5=72180
Cancel out the common factor 36
x5=25
Take the 5-th root on both sides of the equation
5x5=525
Calculate
x=525
Solution
More Steps

Evaluate
525
To take a root of a fraction,take the root of the numerator and denominator separately
5255
Multiply by the Conjugate
52×52455×524
Simplify
52×52455×516
Multiply the numbers
More Steps

Evaluate
55×516
The product of roots with the same index is equal to the root of the product
55×16
Calculate the product
580
52×524580
Multiply the numbers
More Steps

Evaluate
52×524
The product of roots with the same index is equal to the root of the product
52×24
Calculate the product
525
Reduce the index of the radical and exponent with 5
2
2580
x=2580
Alternative Form
x≈1.201124
Show Solution
