Question
Solve the equation
x=39017180×39016
Alternative Form
x≈0.644402
Evaluate
x6×7802x=360
Multiply
More Steps

Evaluate
x6×7802x
Multiply the terms with the same base by adding their exponents
x6+1×7802
Add the numbers
x7×7802
Use the commutative property to reorder the terms
7802x7
7802x7=360
Divide both sides
78027802x7=7802360
Divide the numbers
x7=7802360
Cancel out the common factor 2
x7=3901180
Take the 7-th root on both sides of the equation
7x7=73901180
Calculate
x=73901180
Solution
More Steps

Evaluate
73901180
To take a root of a fraction,take the root of the numerator and denominator separately
739017180
Multiply by the Conjugate
73901×7390167180×739016
The product of roots with the same index is equal to the root of the product
73901×7390167180×39016
Multiply the numbers
More Steps

Evaluate
73901×739016
The product of roots with the same index is equal to the root of the product
73901×39016
Calculate the product
739017
Reduce the index of the radical and exponent with 7
3901
39017180×39016
x=39017180×39016
Alternative Form
x≈0.644402
Show Solution
