Question
Solve the equation
x=555000
Alternative Form
x≈1.098561
Evaluate
(5×101×1)(1×x)5=8×101×1
Remove the parentheses
5×101×1×(1×x)5=8×101×1
Simplify
More Steps

Evaluate
5×101×1×(1×x)5
Any expression multiplied by 1 remains the same
5×101×1×x5
Evaluate the power
5×10×1×x5
Rewrite the expression
5×10x5
Multiply the terms
50x5
50x5=8×101×1
Simplify
More Steps

Evaluate
8×101×1
Evaluate the power
8×10×1
Any expression multiplied by 1 remains the same
8×10
50x5=8×10
Divide both sides
5050x5=508×10
Divide the numbers
x5=508×10
Divide the numbers
More Steps

Evaluate
508×10
Cancel out the common factor 2
254×10
Cancel out the common factor 5
54×2
Calculate
58
x5=58
Take the 5-th root on both sides of the equation
5x5=558
Calculate
x=558
Solution
More Steps

Evaluate
558
To take a root of a fraction,take the root of the numerator and denominator separately
5558
Multiply by the Conjugate
55×55458×554
Simplify
55×55458×5625
Multiply the numbers
More Steps

Evaluate
58×5625
The product of roots with the same index is equal to the root of the product
58×625
Calculate the product
55000
55×55455000
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
555000
x=555000
Alternative Form
x≈1.098561
Show Solution
