Question
Solve the equation
x=753430
Alternative Form
x≈0.727714
Evaluate
7x×7x×18x3=180
Multiply
More Steps

Evaluate
7x×7x×18x3
Multiply the terms
More Steps

Evaluate
7×7×18
Multiply the terms
49×18
Multiply the numbers
882
882x×x×x3
Multiply the terms with the same base by adding their exponents
882x1+3×x
Add the numbers
882x4×x
Multiply the terms with the same base by adding their exponents
882x1+4
Add the numbers
882x5
882x5=180
Divide both sides
882882x5=882180
Divide the numbers
x5=882180
Cancel out the common factor 18
x5=4910
Take the 5-th root on both sides of the equation
5x5=54910
Calculate
x=54910
Solution
More Steps

Evaluate
54910
To take a root of a fraction,take the root of the numerator and denominator separately
549510
Multiply by the Conjugate
549×5494510×5494
Simplify
549×5494510×75343
Multiply the numbers
More Steps

Evaluate
510×75343
Multiply the terms
53430×7
Use the commutative property to reorder the terms
753430
549×5494753430
Multiply the numbers
More Steps

Evaluate
549×5494
The product of roots with the same index is equal to the root of the product
549×494
Calculate the product
5495
Transform the expression
5710
Reduce the index of the radical and exponent with 5
72
72753430
Reduce the fraction
More Steps

Evaluate
727
Use the product rule aman=an−m to simplify the expression
72−11
Subtract the terms
711
Simplify
71
753430
x=753430
Alternative Form
x≈0.727714
Show Solution
