Question
Solve the equation
x=5511250
Alternative Form
x≈1.291994
Evaluate
10x2×5x3=180
Multiply
More Steps

Evaluate
10x2×5x3
Multiply the terms
50x2×x3
Multiply the terms with the same base by adding their exponents
50x2+3
Add the numbers
50x5
50x5=180
Divide both sides
5050x5=50180
Divide the numbers
x5=50180
Cancel out the common factor 10
x5=518
Take the 5-th root on both sides of the equation
5x5=5518
Calculate
x=5518
Solution
More Steps

Evaluate
5518
To take a root of a fraction,take the root of the numerator and denominator separately
55518
Multiply by the Conjugate
55×554518×554
Simplify
55×554518×5625
Multiply the numbers
More Steps

Evaluate
518×5625
The product of roots with the same index is equal to the root of the product
518×625
Calculate the product
511250
55×554511250
Multiply the numbers
More Steps

Evaluate
55×554
The product of roots with the same index is equal to the root of the product
55×54
Calculate the product
555
Reduce the index of the radical and exponent with 5
5
5511250
x=5511250
Alternative Form
x≈1.291994
Show Solution
