Question
Solve the equation
x=31712×316
Alternative Form
x≈0.873207
Evaluate
180=5x×93x6×1
Multiply the terms
More Steps

Evaluate
5x×93x6×1
Rewrite the expression
5x×93x6
Multiply the terms
465x×x6
Multiply the terms with the same base by adding their exponents
465x1+6
Add the numbers
465x7
180=465x7
Swap the sides of the equation
465x7=180
Divide both sides
465465x7=465180
Divide the numbers
x7=465180
Cancel out the common factor 15
x7=3112
Take the 7-th root on both sides of the equation
7x7=73112
Calculate
x=73112
Solution
More Steps

Evaluate
73112
To take a root of a fraction,take the root of the numerator and denominator separately
731712
Multiply by the Conjugate
731×7316712×7316
The product of roots with the same index is equal to the root of the product
731×7316712×316
Multiply the numbers
More Steps

Evaluate
731×7316
The product of roots with the same index is equal to the root of the product
731×316
Calculate the product
7317
Reduce the index of the radical and exponent with 7
31
31712×316
x=31712×316
Alternative Form
x≈0.873207
Show Solution
