Question
Solve the equation
u=39243
Alternative Form
u≈0.613686
Evaluate
u6×u×9u×12u×15=20
Simplify
More Steps

Evaluate
u6×u×9u×12u×15
Rewrite the expression in exponential form
u6×u3×9×12×15
Multiply the terms with the same base by adding their exponents
u6+3×9×12×15
Add the numbers
u9×9×12×15
Multiply the terms
More Steps

Evaluate
9×12×15
Multiply the terms
108×15
Multiply the numbers
1620
u9×1620
Use the commutative property to reorder the terms
1620u9
1620u9=20
Divide both sides
16201620u9=162020
Divide the numbers
u9=162020
Cancel out the common factor 20
u9=811
Take the 9-th root on both sides of the equation
9u9=9811
Calculate
u=9811
Solution
More Steps

Evaluate
9811
To take a root of a fraction,take the root of the numerator and denominator separately
98191
Simplify the radical expression
9811
Multiply by the Conjugate
981×98189818
Simplify
981×9818339243
Multiply the numbers
More Steps

Evaluate
981×9818
The product of roots with the same index is equal to the root of the product
981×818
Calculate the product
9819
Transform the expression
9336
Reduce the index of the radical and exponent with 9
34
34339243
Reduce the fraction
More Steps

Evaluate
3433
Use the product rule aman=an−m to simplify the expression
34−31
Subtract the terms
311
Simplify
31
39243
u=39243
Alternative Form
u≈0.613686
Show Solution
