Question
Solve the equation
x=6530
Alternative Form
x≈0.329058
Evaluate
x5×9×5184=180
Multiply
More Steps

Evaluate
x5×9×5184
Multiply the terms
x5×46656
Use the commutative property to reorder the terms
46656x5
46656x5=180
Divide both sides
4665646656x5=46656180
Divide the numbers
x5=46656180
Cancel out the common factor 36
x5=12965
Take the 5-th root on both sides of the equation
5x5=512965
Calculate
x=512965
Solution
More Steps

Evaluate
512965
To take a root of a fraction,take the root of the numerator and denominator separately
5129655
Multiply by the Conjugate
51296×51296455×512964
Simplify
51296×51296455×6356
Multiply the numbers
More Steps

Evaluate
55×6356
Multiply the terms
530×63
Use the commutative property to reorder the terms
63530
51296×51296463530
Multiply the numbers
More Steps

Evaluate
51296×512964
The product of roots with the same index is equal to the root of the product
51296×12964
Calculate the product
512965
Transform the expression
5620
Reduce the index of the radical and exponent with 5
64
6463530
Reduce the fraction
More Steps

Evaluate
6463
Use the product rule aman=an−m to simplify the expression
64−31
Subtract the terms
611
Simplify
61
6530
x=6530
Alternative Form
x≈0.329058
Show Solution
